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id="toc-In_other_fields" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#In_other_fields"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>In other fields</span> </div> </a> <ul id="toc-In_other_fields-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notes" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notes"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Notes</span> </div> </a> <ul id="toc-Notes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">31 (number)</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 85 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-85" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">85 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ab mw-list-item"><a href="https://ab.wikipedia.org/wiki/31_(%D0%B0%D1%85%D1%8B%D4%A5%D1%85%D1%8C%D0%B0%D3%A1%D0%B0%D1%80%D0%B0)" title="31 (ахыԥхьаӡара) – Abkhazian" lang="ab" hreflang="ab" data-title="31 (ахыԥхьаӡара)" data-language-autonym="Аԥсшәа" data-language-local-name="Abkhazian" class="interlanguage-link-target"><span>Аԥсшәа</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/31_(%D8%B9%D8%AF%D8%AF)" title="31 (عدد) – Arabic" lang="ar" hreflang="ar" data-title="31 (عدد)" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/31_(%D5%A9%D5%AB%D6%82)" title="31 (թիւ) – Western Armenian" lang="hyw" hreflang="hyw" data-title="31 (թիւ)" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/31_(%C9%99d%C9%99d)" title="31 (ədəd) – Azerbaijani" lang="az" hreflang="az" data-title="31 (ədəd)" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DB%B3%DB%B1_(%D8%B3%D8%A7%DB%8C%DB%8C)" title="۳۱ (سایی) – South Azerbaijani" lang="azb" hreflang="azb" data-title="۳۱ (سایی)" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/31" title="31 – Minnan" lang="nan" hreflang="nan" data-title="31" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/31_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="31 (число) – Bulgarian" lang="bg" hreflang="bg" data-title="31 (число)" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BC%A3%E0%BC%A1_(%E0%BD%82%E0%BE%B2%E0%BD%84%E0%BD%A6%E0%BC%8B%E0%BD%80%E0%BC%8D)" title="༣༡ (གྲངས་ཀ།) – Tibetan" lang="bo" hreflang="bo" data-title="༣༡ (གྲངས་ཀ།)" data-language-autonym="བོད་ཡིག" data-language-local-name="Tibetan" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Trenta-u" title="Trenta-u – Catalan" lang="ca" hreflang="ca" data-title="Trenta-u" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/31_(%D1%85%D0%B8%D1%81%D0%B5%D0%BF)" title="31 (хисеп) – Chuvash" lang="cv" hreflang="cv" data-title="31 (хисеп)" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/31_(%C4%8D%C3%ADslo)" title="31 (číslo) – Czech" lang="cs" hreflang="cs" data-title="31 (číslo)" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/31_(tal)" title="31 (tal) – Danish" lang="da" hreflang="da" data-title="31 (tal)" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/31" title="31 – Moroccan Arabic" lang="ary" hreflang="ary" data-title="31" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Einunddrei%C3%9Fig" title="Einunddreißig – German" lang="de" hreflang="de" data-title="Einunddreißig" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/31_(%CE%B1%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82)" title="31 (αριθμός) – Greek" lang="el" hreflang="el" data-title="31 (αριθμός)" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/31_(n%C3%B9mer)" title="31 (nùmer) – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="31 (nùmer)" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/31_(%D0%BB%D0%BE%D0%B2%D0%BE%D0%BC%D0%B0_%D0%B2%D0%B0%D0%BB)" title="31 (ловома вал) – Erzya" lang="myv" hreflang="myv" data-title="31 (ловома вал)" data-language-autonym="Эрзянь" data-language-local-name="Erzya" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Treinta_y_uno" title="Treinta y uno – Spanish" lang="es" hreflang="es" data-title="Treinta y uno" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/31_(nombro)" title="31 (nombro) – Esperanto" lang="eo" hreflang="eo" data-title="31 (nombro)" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Hogeita_hamaika" title="Hogeita hamaika – Basque" lang="eu" hreflang="eu" data-title="Hogeita hamaika" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%DB%B3%DB%B1_(%D8%B9%D8%AF%D8%AF)" title="۳۱ (عدد) – Persian" lang="fa" hreflang="fa" data-title="۳۱ (عدد)" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/31_(tal)" title="31 (tal) – Faroese" lang="fo" hreflang="fo" data-title="31 (tal)" data-language-autonym="Føroyskt" data-language-local-name="Faroese" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/31_(nombre)" title="31 (nombre) – French" lang="fr" hreflang="fr" data-title="31 (nombre)" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/31_(uimhir)" title="31 (uimhir) – Irish" lang="ga" hreflang="ga" data-title="31 (uimhir)" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/31" title="31 – Gan" lang="gan" hreflang="gan" data-title="31" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/31" title="31 – Korean" lang="ko" hreflang="ko" data-title="31" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/31_(al%C6%99alami)" title="31 (alƙalami) – Hausa" lang="ha" hreflang="ha" data-title="31 (alƙalami)" data-language-autonym="Hausa" data-language-local-name="Hausa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/31_(%D5%A9%D5%AB%D5%BE)" title="31 (թիվ) – Armenian" lang="hy" hreflang="hy" data-title="31 (թիվ)" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/31_(angka)" title="31 (angka) – Indonesian" lang="id" hreflang="id" data-title="31 (angka)" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/31_(numero)" title="31 (numero) – Interlingua" lang="ia" hreflang="ia" data-title="31 (numero)" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/31_(numero)" title="31 (numero) – Italian" lang="it" hreflang="it" data-title="31 (numero)" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/31_(%D7%9E%D7%A1%D7%A4%D7%A8)" title="31 (מספר) – Hebrew" lang="he" hreflang="he" data-title="31 (מספר)" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/31_(%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98)" title="31 (რიცხვი) – Georgian" lang="ka" hreflang="ka" data-title="31 (რიცხვი)" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ks mw-list-item"><a href="https://ks.wikipedia.org/wiki/31_(%DA%AF%D8%B1%D9%8E%D9%9B%D9%86%D9%9B%D8%AF)" title="31 (گرَٛنٛد) – Kashmiri" lang="ks" hreflang="ks" data-title="31 (گرَٛنٛد)" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="Kashmiri" class="interlanguage-link-target"><span>कॉशुर / کٲشُر</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Thelathini_na_moja" title="Thelathini na moja – Swahili" lang="sw" hreflang="sw" data-title="Thelathini na moja" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/31_(nonm)" title="31 (nonm) – Haitian Creole" lang="ht" hreflang="ht" data-title="31 (nonm)" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitian Creole" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-lbe mw-list-item"><a href="https://lbe.wikipedia.org/wiki/%D0%97%D1%83%D0%B2%D0%B8%D0%BB%D0%BB%D0%B8%D0%B9_%D1%86%D0%B0%D0%B2%D0%B0" title="Зувиллий цава – Lak" lang="lbe" hreflang="lbe" data-title="Зувиллий цава" data-language-autonym="Лакку" data-language-local-name="Lak" class="interlanguage-link-target"><span>Лакку</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/31_(skaitlis)" title="31 (skaitlis) – Latvian" lang="lv" hreflang="lv" data-title="31 (skaitlis)" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Amakumi_asatu_mu_emu" title="Amakumi asatu mu emu – Ganda" lang="lg" hreflang="lg" data-title="Amakumi asatu mu emu" data-language-autonym="Luganda" data-language-local-name="Ganda" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/31_(sz%C3%A1m)" title="31 (szám) – Hungarian" lang="hu" hreflang="hu" data-title="31 (szám)" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A5%A9%E0%A5%A7" title="३१ – Maithili" lang="mai" hreflang="mai" data-title="३१" data-language-autonym="मैथिली" data-language-local-name="Maithili" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/31_(%D0%B1%D1%80%D0%BE%D1%98)" title="31 (број) – Macedonian" lang="mk" hreflang="mk" data-title="31 (број)" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A5%A9%E0%A5%A7_(%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE)" title="३१ (संख्या) – Marathi" lang="mr" hreflang="mr" data-title="३१ (संख्या)" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%DB%B3%DB%B1_(%D8%B9%D8%AF%D8%AF)" title="۳۱ (عدد) – Mazanderani" lang="mzn" hreflang="mzn" data-title="۳۱ (عدد)" data-language-autonym="مازِرونی" data-language-local-name="Mazanderani" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/31_(nombor)" title="31 (nombor) – Malay" lang="ms" hreflang="ms" data-title="31 (nombor)" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mni mw-list-item"><a href="https://mni.wikipedia.org/wiki/%EA%AF%B3%EA%AF%B1" title="꯳꯱ – Manipuri" lang="mni" hreflang="mni" data-title="꯳꯱" data-language-autonym="ꯃꯤꯇꯩ ꯂꯣꯟ" data-language-local-name="Manipuri" class="interlanguage-link-target"><span>ꯃꯤꯇꯩ ꯂꯣꯟ</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/31" title="31 – Mindong" lang="cdo" hreflang="cdo" data-title="31" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-nah mw-list-item"><a href="https://nah.wikipedia.org/wiki/C%C4%93mp%C5%8Dhualmahtl%C4%81ctli_onc%C4%93" title="Cēmpōhualmahtlāctli oncē – Nahuatl" lang="nah" hreflang="nah" data-title="Cēmpōhualmahtlāctli oncē" data-language-autonym="Nāhuatl" data-language-local-name="Nahuatl" class="interlanguage-link-target"><span>Nāhuatl</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Tolu_ka_dua" title="Tolu ka dua – Fijian" lang="fj" hreflang="fj" data-title="Tolu ka dua" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="Fijian" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/31_(getal)" title="31 (getal) – Dutch" lang="nl" hreflang="nl" data-title="31 (getal)" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/31" title="31 – Japanese" lang="ja" hreflang="ja" data-title="31" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-nap mw-list-item"><a href="https://nap.wikipedia.org/wiki/Trent%C3%B9ne" title="Trentùne – Neapolitan" lang="nap" hreflang="nap" data-title="Trentùne" data-language-autonym="Napulitano" data-language-local-name="Neapolitan" class="interlanguage-link-target"><span>Napulitano</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/31_(tall)" title="31 (tall) – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="31 (tall)" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Talet_31" title="Talet 31 – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Talet 31" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/31_(son)" title="31 (son) – Uzbek" lang="uz" hreflang="uz" data-title="31 (son)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/31" title="31 – Western Punjabi" lang="pnb" hreflang="pnb" data-title="31" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%DB%B3%DB%B1_(%D8%B9%D8%AF%D8%AF)" title="۳۱ (عدد) – Pashto" lang="ps" hreflang="ps" data-title="۳۱ (عدد)" data-language-autonym="پښتو" data-language-local-name="Pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/31_(liczba)" title="31 (liczba) – Polish" lang="pl" hreflang="pl" data-title="31 (liczba)" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt badge-Q70893996 mw-list-item" title=""><a href="https://pt.wikipedia.org/wiki/Trinta_e_um" title="Trinta e um – Portuguese" lang="pt" hreflang="pt" data-title="Trinta e um" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/31_(num%C4%83r)" title="31 (număr) – Romanian" lang="ro" hreflang="ro" data-title="31 (număr)" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/31_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="31 (число) – Russian" lang="ru" hreflang="ru" data-title="31 (число)" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-nso mw-list-item"><a href="https://nso.wikipedia.org/wiki/31_(nomoro)" title="31 (nomoro) – Northern Sotho" lang="nso" hreflang="nso" data-title="31 (nomoro)" data-language-autonym="Sesotho sa Leboa" data-language-local-name="Northern Sotho" class="interlanguage-link-target"><span>Sesotho sa Leboa</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/31_(number)" title="31 (number) – Simple English" lang="en-simple" hreflang="en-simple" data-title="31 (number)" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/31_(%C5%A1tevilo)" title="31 (število) – Slovenian" lang="sl" hreflang="sl" data-title="31 (število)" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/31_(tiro)" title="31 (tiro) – Somali" lang="so" hreflang="so" data-title="31 (tiro)" data-language-autonym="Soomaaliga" data-language-local-name="Somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%A3%D9%A1_(%DA%98%D9%85%D8%A7%D8%B1%DB%95)" title="٣١ (ژمارە) – Central Kurdish" lang="ckb" hreflang="ckb" data-title="٣١ (ژمارە)" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-srn mw-list-item"><a href="https://srn.wikipedia.org/wiki/Numro_31" title="Numro 31 – Sranan Tongo" lang="srn" hreflang="srn" data-title="Numro 31" data-language-autonym="Sranantongo" data-language-local-name="Sranan Tongo" class="interlanguage-link-target"><span>Sranantongo</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/31_(%D0%B1%D1%80%D0%BE%D1%98)" title="31 (број) – Serbian" lang="sr" hreflang="sr" data-title="31 (број)" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/31_(luku)" title="31 (luku) – Finnish" lang="fi" hreflang="fi" data-title="31 (luku)" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/31_(tal)" title="31 (tal) – Swedish" lang="sv" hreflang="sv" data-title="31 (tal)" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/31_(%D1%81%D0%B0%D0%BD)" title="31 (сан) – Tatar" lang="tt" hreflang="tt" data-title="31 (сан)" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/31" title="31 – Thai" lang="th" hreflang="th" data-title="31" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/31_(say%C4%B1)" title="31 (sayı) – Turkish" lang="tr" hreflang="tr" data-title="31 (sayı)" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tyv mw-list-item"><a href="https://tyv.wikipedia.org/wiki/31" title="31 – Tuvinian" lang="tyv" hreflang="tyv" data-title="31" data-language-autonym="Тыва дыл" data-language-local-name="Tuvinian" class="interlanguage-link-target"><span>Тыва дыл</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/31_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="31 (число) – Ukrainian" lang="uk" hreflang="uk" data-title="31 (число)" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/31_(%D8%B9%D8%AF%D8%AF)" title="31 (عدد) – Urdu" lang="ur" hreflang="ur" data-title="31 (عدد)" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-za mw-list-item"><a href="https://za.wikipedia.org/wiki/31" title="31 – Zhuang" lang="za" hreflang="za" data-title="31" data-language-autonym="Vahcuengh" data-language-local-name="Zhuang" class="interlanguage-link-target"><span>Vahcuengh</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/31_(lugu)" title="31 (lugu) – Veps" lang="vep" hreflang="vep" data-title="31 (lugu)" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/31_(s%E1%BB%91)" title="31 (số) – Vietnamese" lang="vi" hreflang="vi" data-title="31 (số)" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/31_(getal)" title="31 (getal) – West Flemish" lang="vls" hreflang="vls" data-title="31 (getal)" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/31_(ihap)" title="31 (ihap) – Waray" lang="war" hreflang="war" data-title="31 (ihap)" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/31" title="31 – Wu" lang="wuu" hreflang="wuu" data-title="31" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/31_(%D7%A0%D7%95%D7%9E%D7%A2%D7%A8)" title="31 (נומער) – Yiddish" lang="yi" hreflang="yi" data-title="31 (נומער)" data-language-autonym="ייִדיש" data-language-local-name="Yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/31" title="31 – Cantonese" lang="yue" hreflang="yue" data-title="31" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/31" title="31 – Chinese" lang="zh" hreflang="zh" data-title="31" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit 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dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Natural number</div><style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox" style="line-height: 1.0em"><tbody><tr><th colspan="2" class="infobox-above" style="font-size: 150%"><table style="width:100%; margin:0"><tbody><tr> <td style="width:15%; text-align:left; white-space: nowrap; font-size:smaller"><a href="/wiki/30_(number)" title="30 (number)">← 30 </a></td> <td style="width:70%; padding-left:1em; padding-right:1em; text-align: center;">31</td> <td style="width:15%; text-align:right; white-space: nowrap; font-size:smaller"><a href="/wiki/32_(number)" title="32 (number)"> 32 →</a></td> </tr></tbody></table></th></tr><tr><td colspan="2" class="infobox-subheader" style="font-size:100%;"><div style="text-align:center;"> <a href="/wiki/29_(number)" title="29 (number)">←</a> <a href="/wiki/30_(number)" title="30 (number)">30</a> <a class="mw-selflink selflink">31</a> <a href="/wiki/32_(number)" title="32 (number)">32</a> <a href="/wiki/33_(number)" title="33 (number)">33</a> <a href="/wiki/34_(number)" title="34 (number)">34</a> <a href="/wiki/35_(number)" title="35 (number)">35</a> <a href="/wiki/36_(number)" title="36 (number)">36</a> <a href="/wiki/37_(number)" title="37 (number)">37</a> <a href="/wiki/38_(number)" title="38 (number)">38</a> <a href="/wiki/39_(number)" title="39 (number)">39</a> <a href="/wiki/40_(number)" title="40 (number)">→</a></div><div style="text-align:center;"> <style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><div class="hlist"><ul><li><a href="/wiki/List_of_numbers" title="List of numbers">List of numbers</a></li><li><a href="/wiki/Integer" title="Integer">Integers</a></li></ul></div></div><div style="text-align:center;"><a href="/wiki/Negative_number" title="Negative number">←</a> <a href="/wiki/0" title="0">0</a> <a href="/wiki/10" title="10">10</a> <a href="/wiki/20_(number)" title="20 (number)">20</a> <a href="/wiki/30_(number)" title="30 (number)">30</a> <a href="/wiki/40_(number)" title="40 (number)">40</a> <a href="/wiki/50_(number)" title="50 (number)">50</a> <a href="/wiki/60_(number)" title="60 (number)">60</a> <a href="/wiki/70_(number)" title="70 (number)">70</a> <a href="/wiki/80_(number)" title="80 (number)">80</a> <a href="/wiki/90_(number)" title="90 (number)">90</a> <a href="/wiki/100_(number)" class="mw-redirect" title="100 (number)">→</a></div></td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Cardinal_numeral" title="Cardinal numeral">Cardinal</a></th><td class="infobox-data">thirty-one</td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Ordinal_numeral" title="Ordinal numeral">Ordinal</a></th><td class="infobox-data">31st<br />(thirty-first)</td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Factorization" title="Factorization">Factorization</a></th><td class="infobox-data"><a href="/wiki/Prime_number" title="Prime number">prime</a></td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Prime_number" title="Prime number">Prime</a></th><td class="infobox-data">11th</td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Divisor" title="Divisor">Divisors</a></th><td class="infobox-data">1, 31</td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Greek_numerals" title="Greek numerals">Greek numeral</a></th><td class="infobox-data">ΛΑ´</td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Roman_numerals" title="Roman numerals">Roman numeral</a></th><td class="infobox-data">XXXI</td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Binary_number" title="Binary number">Binary</a></th><td class="infobox-data">11111<sub>2</sub></td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Ternary_numeral_system" title="Ternary numeral system">Ternary</a></th><td class="infobox-data">1011<sub>3</sub></td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Senary" title="Senary">Senary</a></th><td class="infobox-data">51<sub>6</sub></td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Octal" title="Octal">Octal</a></th><td class="infobox-data">37<sub>8</sub></td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Duodecimal" title="Duodecimal">Duodecimal</a></th><td class="infobox-data">27<sub>12</sub></td></tr><tr><th scope="row" class="infobox-label" style="font-weight:normal"><a href="/wiki/Hexadecimal" title="Hexadecimal">Hexadecimal</a></th><td class="infobox-data">1F<sub>16</sub></td></tr></tbody></table> <p><b>31</b> (<b>thirty-one</b>) is the natural number following <a href="/wiki/Thirty" class="mw-redirect" title="Thirty">30</a> and preceding <a href="/wiki/32_(number)" title="32 (number)">32</a>. It is a prime number. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Mathematics">Mathematics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=31_(number)&action=edit&section=1" title="Edit section: Mathematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>31 is the 11th prime number. It is a <a href="/wiki/Superprime" class="mw-redirect" title="Superprime">superprime</a> and a <a href="/wiki/Self_number#Self_primes" title="Self number">self prime</a> (after <a href="/wiki/3" title="3">3</a>, <a href="/wiki/5" title="5">5</a>, and <a href="/wiki/7" title="7">7</a>), as no integer added up to its base 10 digits results in 31.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> It is the third <a href="/wiki/Mersenne_prime" title="Mersenne prime">Mersenne prime</a> of the form 2<sup><i>n</i></sup> − 1,<sup id="cite_ref-MersP_2-0" class="reference"><a href="#cite_note-MersP-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> and the eighth Mersenne prime <i>exponent</i>,<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> in-turn yielding the maximum positive value for a <a href="/wiki/32-bit" class="mw-redirect" title="32-bit">32-bit</a> <a href="/wiki/Integer_(computer_science)" title="Integer (computer science)">signed binary integer</a> in <a href="/wiki/Computing" title="Computing">computing</a>: <a href="/wiki/2,147,483,647" title="2,147,483,647">2,147,483,647</a>. After <a href="/wiki/3" title="3">3</a>, it is the second Mersenne prime not to be a <a href="/wiki/Double_Mersenne_prime" class="mw-redirect" title="Double Mersenne prime">double Mersenne prime</a>, while the 31st prime number (<a href="/wiki/127_(number)" title="127 (number)">127</a>) is the second double Mersenne prime, following <a href="/wiki/7" title="7">7</a>.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> On the other hand, the thirty-first <a href="/wiki/Triangular_number" title="Triangular number">triangular number</a> is the <a href="/wiki/Perfect_number" title="Perfect number">perfect number</a> <a href="/wiki/496_(number)" title="496 (number)">496</a>, of the form 2<sup>(5 − 1)</sup>(2<sup>5</sup> − 1) by the <a href="/wiki/Euclid-Euler_theorem" class="mw-redirect" title="Euclid-Euler theorem">Euclid-Euler theorem</a>.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> 31 is also a <i><a href="/wiki/Primorial_prime" title="Primorial prime">primorial prime</a></i> like its <a href="/wiki/Twin_prime" title="Twin prime">twin prime</a> (<a href="/wiki/29_(number)" title="29 (number)">29</a>),<sup id="cite_ref-twin_6-0" class="reference"><a href="#cite_note-twin-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> as well as both a <a href="/wiki/Lucky_prime" class="mw-redirect" title="Lucky prime">lucky prime</a><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> and a <a href="/wiki/Happy_number" title="Happy number">happy number</a><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> like its dual <a href="/wiki/Permutable_prime" title="Permutable prime">permutable prime</a> in <a href="/wiki/Base_ten" class="mw-redirect" title="Base ten">decimal</a> (<a href="/wiki/13_(number)" title="13 (number)">13</a>).<sup id="cite_ref-permutable_10-0" class="reference"><a href="#cite_note-permutable-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p><p>31 is the number of <a href="/wiki/Regular_polygon" title="Regular polygon">regular polygons</a> with an odd number of sides that are known to be <a href="/wiki/Constructible_polygon" title="Constructible polygon">constructible with compass and straightedge</a>, from combinations of known <a href="/wiki/Fermat_prime" class="mw-redirect" title="Fermat prime">Fermat primes</a> of the form 2<sup>2<sup><i>n</i></sup></sup> + 1 (they are <a href="/wiki/3" title="3">3</a>, <a href="/wiki/5" title="5">5</a>, <a href="/wiki/17_(number)" title="17 (number)">17</a>, <a href="/wiki/257_(number)" title="257 (number)">257</a> and <a href="/wiki/65537_(number)" class="mw-redirect" title="65537 (number)">65537</a>).<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </p> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/File:Centered_pentagonal_number_31.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/94/Centered_pentagonal_number_31.svg/135px-Centered_pentagonal_number_31.svg.png" decoding="async" width="135" height="129" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/94/Centered_pentagonal_number_31.svg/203px-Centered_pentagonal_number_31.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/94/Centered_pentagonal_number_31.svg/270px-Centered_pentagonal_number_31.svg.png 2x" data-file-width="169" data-file-height="161" /></a><figcaption>31 is a <a href="/wiki/Centered_pentagonal_number" title="Centered pentagonal number">centered pentagonal number</a>.</figcaption></figure> <p>Only two numbers have a <a href="/wiki/Divisor_function" title="Divisor function">sum-of-divisors</a> equal to 31: <a href="/wiki/16_(number)" title="16 (number)">16</a> (1 + 2 + 4 + 8 + 16) and <a href="/wiki/25_(number)" title="25 (number)">25</a> (1 + 5 + 25), respectively the <a href="/wiki/Square_number" title="Square number">square</a> of <a href="/wiki/4" title="4">4</a>, and of <a href="/wiki/5" title="5">5</a>.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> In total, only thirty-one integers are not the sum of distinct squares (31 is the sixteenth such number, where the largest is <a href="/wiki/124_(number)" title="124 (number)">124</a>).<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p><p>31 is the 11th and final consecutive <a href="/wiki/Supersingular_prime_(moonshine_theory)" title="Supersingular prime (moonshine theory)">supersingular prime</a>.<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> After 31, the only supersingular primes are <a href="/wiki/41_(number)" title="41 (number)">41</a>, <a href="/wiki/47_(number)" title="47 (number)">47</a>, <a href="/wiki/59_(number)" title="59 (number)">59</a>, and <a href="/wiki/71_(number)" title="71 (number)">71</a>. </p><p>31 is the first prime <a href="/wiki/Centered_pentagonal_number" title="Centered pentagonal number">centered pentagonal number</a>,<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> the fifth <a href="/wiki/Centered_triangular_number" title="Centered triangular number">centered triangular number</a>,<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> and the first non-trivial <a href="/wiki/Centered_decagonal_number" title="Centered decagonal number">centered decagonal number</a>.<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> </p><p>For the <a href="/wiki/Steiner_tree_problem" title="Steiner tree problem">Steiner tree problem</a>, 31 is the number of possible Steiner topologies for Steiner trees with 4 terminals.<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup> </p><p>At 31, the <a href="/wiki/Mertens_function" title="Mertens function">Mertens function</a> sets a new low of −4, a value which is not subceded until <a href="/wiki/110_(number)" title="110 (number)">110</a>.<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> </p><p>31 is a <a href="/wiki/Repdigit" title="Repdigit">repdigit</a> in base 2 (11111) and in base 5 (111). </p><p>The cube root of 31 is the value of <a href="/wiki/Pi" title="Pi"><span class="texhtml mvar" style="font-style:italic;">π</span></a> correct to four significant figures: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\sqrt[{3}]{3}}1=3.141\;{\color {red}38065\;\ldots }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mroot> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </mroot> </mrow> <mn>1</mn> <mo>=</mo> <mn>3.141</mn> <mspace width="thickmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mstyle mathcolor="red"> <mn>38065</mn> <mspace width="thickmathspace" /> <mo>…</mo> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt[{3}]{3}}1=3.141\;{\color {red}38065\;\ldots }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3de29d65ce62b27cc0ab69131996f3f1130982bb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:22.869ex; height:3.009ex;" alt="{\displaystyle {\sqrt[{3}]{3}}1=3.141\;{\color {red}38065\;\ldots }}"></span></dd></dl> <p>The thirty-first digit in the <a href="/wiki/Fractional_part" title="Fractional part">fractional part</a> of the <a href="/wiki/Decimal_expansion" class="mw-redirect" title="Decimal expansion">decimal expansion</a> for pi in <a href="/wiki/Base-10" class="mw-redirect" title="Base-10">base-10</a> is the last consecutive non-zero digit represented, starting from the beginning of the expansion (i.e, the thirty-second single-digit string is the first <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2aae8864a3c1fec9585261791a809ddec1489950" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 0}"></span>);<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> the <a href="/wiki/Partial_sum" class="mw-redirect" title="Partial sum">partial sum</a> of digits up to this point is <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 155=31\times 5.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>155</mn> <mo>=</mo> <mn>31</mn> <mo>×</mo> <mn>5.</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 155=31\times 5.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ba651cd782d291c10eb23913a5b90ebf995c02d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:13.56ex; height:2.176ex;" alt="{\displaystyle 155=31\times 5.}"></span><sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> 31 is also the prime partial sum of digits of the decimal expansion of pi after the eighth digit.<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>a<span class="cite-bracket">]</span></a></sup> </p><p>The first five <a href="/wiki/Euclid_number" title="Euclid number">Euclid numbers</a> of the form <i>p<sub>1</sub></i> × <i>p<sub>2</sub></i> × <i>p<sub>3</sub></i> × ... × <i>p<sub>n</sub></i> + 1 (with <i>p<sub>n</sub></i> the <i>n</i>th prime) are prime:<sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> </p> <ul><li><a href="/wiki/3" title="3">3</a> = 2 + 1</li> <li><a href="/wiki/7" title="7">7</a> = 2 × 3 + 1</li> <li><b>31</b> = 2 × 3 × <a href="/wiki/5" title="5">5</a> + 1</li> <li><a href="/wiki/211_(number)" title="211 (number)">211</a> = 2 × 3 × 5 × 7 + 1 and</li> <li><a href="/wiki/2311_(number)" class="mw-redirect" title="2311 (number)">2311</a> = 2 × 3 × 5 × 7 × <a href="/wiki/11_(number)" title="11 (number)">11</a> + 1</li></ul> <p>The following term, 30031 = <a href="/wiki/59_(number)" title="59 (number)">59</a> × <a href="/wiki/509_(number)" class="mw-redirect" title="509 (number)">509</a> = 2 × 3 × 5 × 7 × 11 × <a href="/wiki/13_(number)" title="13 (number)">13</a> + 1, is <a href="/wiki/Composite_number" title="Composite number">composite</a>.<sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">[</span>b<span class="cite-bracket">]</span></a></sup> The next prime number of this form has a largest prime <i>p</i> of 31: 2 × 3 × 5 × 7 × 11 × 13 × ... × <b>31</b> + 1 ≈ 8.2 × 10<sup>33</sup>.<sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> </p><p>While 13 and 31 in base-ten are the proper first duo of two-digit permutable primes and <a href="/wiki/Emirp" title="Emirp">emirps</a> with distinct digits in base ten, 11 is the only two-digit permutable prime that is its own permutable prime.<sup id="cite_ref-permutable_10-1" class="reference"><a href="#cite_note-permutable-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-29" class="reference"><a href="#cite_note-29"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup> Meanwhile 13<sub>10</sub> in <a href="/wiki/Ternary_numeral_system" title="Ternary numeral system">ternary</a> is 111<sub>3</sub> and 31<sub>10</sub> in <a href="/wiki/Quinary" title="Quinary">quinary</a> is 111<sub>5</sub>, with 13<sub>10</sub> in <a href="/wiki/Quaternary_numeral_system" title="Quaternary numeral system">quaternary</a> represented as 31<sub>4</sub> and 31<sub>10</sub> as 133<sub>4</sub> (their mirror permutations 331<sub>4</sub> and 13<sub>4</sub>, equivalent to <a href="/wiki/61_(number)" title="61 (number)">61</a> and <a href="/wiki/7" title="7">7</a> in decimal, respectively, are also prime). (11, 13) form the third <a href="/wiki/Twin_prime" title="Twin prime">twin prime</a> pair<sup id="cite_ref-twin_6-1" class="reference"><a href="#cite_note-twin-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> between the fifth and sixth prime numbers whose indices add to 11, itself the prime <a href="/wiki/Sequence" title="Sequence">index</a> of 31.<sup id="cite_ref-PrimeN_30-0" class="reference"><a href="#cite_note-PrimeN-30"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> Where 31 is the prime index of the fourth <a href="/wiki/Mersenne_prime" title="Mersenne prime">Mersenne prime</a>,<sup id="cite_ref-MersP_2-1" class="reference"><a href="#cite_note-MersP-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> the first three Mersenne primes (<a href="/wiki/3" title="3">3</a>, <a href="/wiki/7" title="7">7</a>, <b>31</b>) sum to the thirteenth prime number, <a href="/wiki/41_(number)" title="41 (number)">41</a>.<sup id="cite_ref-PrimeN_30-1" class="reference"><a href="#cite_note-PrimeN-30"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-32" class="reference"><a href="#cite_note-32"><span class="cite-bracket">[</span>c<span class="cite-bracket">]</span></a></sup> 13 and 31 are also the smallest values to reach record lows in the <a href="/wiki/Mertens_function" title="Mertens function">Mertens function</a>, of −3 and −4 respectively.<sup id="cite_ref-33" class="reference"><a href="#cite_note-33"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup> </p><p>The numbers 31, 331, 3331, <span style="white-space:nowrap">33<span style="margin-left:0.25em">331</span></span>, <span style="white-space:nowrap">333<span style="margin-left:0.25em">331</span></span>, <span style="white-space:nowrap">3<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span>, and <span style="white-space:nowrap">33<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span> are all prime. For a time it was thought that every number of the form 3<sub>w</sub>1 would be prime. However, the next nine numbers of the sequence are composite; their <a href="/wiki/Factorisation" class="mw-redirect" title="Factorisation">factorisations</a> are: </p> <ul><li><span style="white-space:nowrap">333<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span> = <a href="/wiki/17_(number)" title="17 (number)">17</a> × <span style="white-space:nowrap">19<span style="margin-left:0.25em">607</span><span style="margin-left:0.25em">843</span></span></li> <li><span style="white-space:nowrap">3<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span> = 673 × <span style="white-space:nowrap">4<span style="margin-left:0.25em">952</span><span style="margin-left:0.25em">947</span></span></li> <li><span style="white-space:nowrap">33<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span> = 307 × <span style="white-space:nowrap">108<span style="margin-left:0.25em">577</span><span style="margin-left:0.25em">633</span></span></li> <li><span style="white-space:nowrap">333<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span> = <a href="/wiki/19_(number)" title="19 (number)">19</a> × <a href="/wiki/83_(number)" title="83 (number)">83</a> × <span style="white-space:nowrap">211<span style="margin-left:0.25em">371</span><span style="margin-left:0.25em">803</span></span></li> <li><span style="white-space:nowrap">3<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span> = 523 × 3049 × <span style="white-space:nowrap">2<span style="margin-left:0.25em">090</span><span style="margin-left:0.25em">353</span></span></li> <li><span style="white-space:nowrap">33<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span> = 607 × 1511 × 1997 × <span style="white-space:nowrap">18<span style="margin-left:0.25em">199</span></span></li> <li><span style="white-space:nowrap">333<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span> = <a href="/wiki/181_(number)" title="181 (number)">181</a> × <span style="white-space:nowrap">1<span style="margin-left:0.25em">841</span><span style="margin-left:0.25em">620</span><span style="margin-left:0.25em">626</span><span style="margin-left:0.25em">151</span></span></li> <li><span style="white-space:nowrap">3<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span> = <a href="/wiki/199_(number)" title="199 (number)">199</a> × <span style="white-space:nowrap">16<span style="margin-left:0.25em">750</span><span style="margin-left:0.25em">418</span><span style="margin-left:0.25em">760</span><span style="margin-left:0.25em">469</span></span> and</li> <li><span style="white-space:nowrap">33<span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">333</span><span style="margin-left:0.25em">331</span></span> = <b>31</b> × 1499 × <span style="white-space:nowrap">717<span style="margin-left:0.25em">324</span><span style="margin-left:0.25em">094</span><span style="margin-left:0.25em">199</span></span>.</li></ul> <p>The next term (3<sub>17</sub>1) is prime, and the recurrence of the factor 31 in the last composite member of the sequence above can be used to prove that no sequence of the type R<sub>w</sub>E or ER<sub>w</sub> can consist only of primes, because every prime in the sequence will periodically divide further numbers.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This result is not obvious from the above example, it would be appropriate to link to the paper containing the proof. (October 2019)">citation needed</span></a></i>]</sup> </p><p>31 is the maximum number of <a href="/wiki/Area" title="Area">areas</a> inside a <a href="/wiki/Circle" title="Circle">circle</a> created from the edges and diagonals of an <a href="/wiki/Inscribed_figure" title="Inscribed figure">inscribed</a> six-sided <a href="/wiki/Polygon" title="Polygon">polygon</a>, per <a href="/wiki/Moser%27s_circle_problem" class="mw-redirect" title="Moser's circle problem">Moser's circle problem</a>.<sup id="cite_ref-34" class="reference"><a href="#cite_note-34"><span class="cite-bracket">[</span>31<span class="cite-bracket">]</span></a></sup> It is also equal to the sum of the maximum number of areas generated by the first five <i>n</i>-sided polygons: 1, 2, 4, 8, 16, and as such, 31 is the first member that diverges from twice the value of its previous member in the sequence, by 1. </p><p><a href="/wiki/Icosahedral_symmetry" title="Icosahedral symmetry">Icosahedral symmetry</a> contains a total of thirty-one <a href="/wiki/Symmetry" title="Symmetry">axes of symmetry</a>; six five-fold, ten three-fold, and fifteen two-fold.<sup id="cite_ref-35" class="reference"><a href="#cite_note-35"><span class="cite-bracket">[</span>32<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="In_science">In science</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=31_(number)&action=edit&section=2" title="Edit section: In science"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>The <a href="/wiki/Atomic_number" title="Atomic number">atomic number</a> of <a href="/wiki/Gallium" title="Gallium">gallium</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Astronomy">Astronomy</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=31_(number)&action=edit&section=3" title="Edit section: Astronomy"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Messier_object" title="Messier object">Messier object</a> <a href="/wiki/Andromeda_Galaxy" title="Andromeda Galaxy">M31</a>, a <a href="/wiki/Visual_magnitude" class="mw-redirect" title="Visual magnitude">magnitude</a> 4.5 <a href="/wiki/Galaxy" title="Galaxy">galaxy</a> in the <a href="/wiki/Constellation" title="Constellation">constellation</a> <a href="/wiki/Andromeda_(constellation)" title="Andromeda (constellation)">Andromeda</a>. It is also known as the <a href="/wiki/Andromeda_Galaxy" title="Andromeda Galaxy">Andromeda Galaxy</a>, and is readily visible to the naked eye in a modestly dark sky.</li> <li>The <a href="/wiki/New_General_Catalogue" title="New General Catalogue">New General Catalogue</a> object <a href="/wiki/NGC_31" title="NGC 31">NGC 31</a>, a <a href="/wiki/Spiral_galaxy" title="Spiral galaxy">spiral galaxy</a> in the constellation <a href="/wiki/Phoenix_(constellation)" title="Phoenix (constellation)">Phoenix</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="In_sports">In sports</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=31_(number)&action=edit&section=4" title="Edit section: In sports"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Ice_hockey" title="Ice hockey">Ice hockey</a> goaltenders often wear the number 31.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (October 2021)">citation needed</span></a></i>]</sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="In_other_fields">In other fields</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=31_(number)&action=edit&section=5" title="Edit section: In other fields"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><b>Thirty-one</b> is also: </p> <ul><li>The number of days in each of the months January, March, May, July, August, October and December</li> <li>The number of the date that Halloween and New Year's Eve are celebrated</li> <li>The code for international direct-dial phone calls to the Netherlands</li> <li><a href="/wiki/Thirty-one_(game)" class="mw-redirect" title="Thirty-one (game)">Thirty-one</a>, a card game</li> <li>The number of kings defeated by the incoming <a href="/wiki/Israelites" title="Israelites">Israelites</a> in <a href="/wiki/Canaan" title="Canaan">Canaan</a> according to <a rel="nofollow" class="external text" href="https://www.biblegateway.com/passage/?search=Joshua+12:24&version=nkjv">Joshua 12:24</a>: "all the kings, one and thirty" (<a href="/wiki/Wycliffe_Bible" class="mw-redirect" title="Wycliffe Bible">Wycliffe Bible</a> translation)</li> <li>A type of game played on a <a href="/wiki/Backgammon" title="Backgammon">backgammon</a> board</li> <li>The number of flavors of <a href="/wiki/Baskin-Robbins" title="Baskin-Robbins">Baskin-Robbins</a> <a href="/wiki/Ice_cream" title="Ice cream">ice cream</a>; the shops are called <i><a href="/wiki/31_Ice_Cream" class="mw-redirect" title="31 Ice Cream">31 Ice Cream</a></i> in Japan</li> <li><a href="/wiki/ISO_31" title="ISO 31">ISO 31</a> is the <a href="/wiki/International_Organization_for_Standardization" title="International Organization for Standardization">ISO</a>'s standard for quantities and units</li> <li>In the title of the anime <i><a href="/wiki/Ulysses_31" title="Ulysses 31">Ulysses 31</a></i></li> <li>In the title of Nick Hornby's book <i><a href="/wiki/31_Songs" class="mw-redirect" title="31 Songs">31 Songs</a></i></li> <li>A women's honorary at The University of Alabama (XXXI)<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (February 2024)">citation needed</span></a></i>]</sup></li> <li>The number of the French department <a href="/wiki/Haute-Garonne" title="Haute-Garonne">Haute-Garonne</a></li> <li>In music, 31-tone equal temperament is a historically significant tuning system (<a href="/wiki/31_equal_temperament" title="31 equal temperament">31 equal temperament</a>), first theorized by <a href="/wiki/Christiaan_Huygens" title="Christiaan Huygens">Christiaan Huygens</a> and promulgated in the 20th century by <a href="/wiki/Adriaan_Fokker" title="Adriaan Fokker">Adriaan Fokker</a></li> <li>Number of letters in <a href="/wiki/Macedonian_alphabet" title="Macedonian alphabet">Macedonian alphabet</a></li> <li>Number of letters in <a href="/wiki/Ottoman_Alphabet" class="mw-redirect" title="Ottoman Alphabet">Ottoman alphabet</a><sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (February 2024)">citation needed</span></a></i>]</sup></li> <li>A slang term for masturbation in Turkish.<sup id="cite_ref-36" class="reference"><a href="#cite_note-36"><span class="cite-bracket">[</span>33<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="Notes">Notes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=31_(number)&action=edit&section=6" title="Edit section: Notes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist reflist-lower-alpha"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-25">^</a></b></span> <span class="reference-text">On the other hand, "31" as a string represents the first decimal expansion of pi truncated to numbers such that the partial sums of the decimal digits are <a href="/wiki/Square_number" title="Square number">square numbers</a>.<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup></span> </li> <li id="cite_note-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-27">^</a></b></span> <span class="reference-text">On the other hand, <a href="/wiki/13_(number)" title="13 (number)">13</a> is a largest <i>p</i> of a <a href="/wiki/Primorial_prime" title="Primorial prime">primorial prime</a> of the form <i>p<sub>n</sub></i># − 1 = 30029 (sequence <span class="nowrap external"><a href="//oeis.org/A057704" class="extiw" title="oeis:A057704">A057704</a></span> in the <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">OEIS</a>).</span> </li> <li id="cite_note-32"><span class="mw-cite-backlink"><b><a href="#cite_ref-32">^</a></b></span> <span class="reference-text">Also, the sum between the sum and product of the first two Mersenne primes is <span class="texhtml">(<a href="/wiki/3" title="3">3</a> + <a href="/wiki/7" title="7">7</a>) + (3 × 7) = <a href="/wiki/10" title="10">10</a> + <a href="/wiki/21_(number)" title="21 (number)">21</a> = 31</span>, where its difference (<a href="/wiki/11_(number)" title="11 (number)">11</a>) is the prime index of 31.<sup id="cite_ref-PrimeN_30-2" class="reference"><a href="#cite_note-PrimeN-30"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> Thirty-one is also in equivalence with <span class="texhtml">14 + 17</span>, which are respectively the seventh <a href="/wiki/Composite_number" title="Composite number">composite</a><sup id="cite_ref-31" class="reference"><a href="#cite_note-31"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup> and prime numbers,<sup id="cite_ref-PrimeN_30-3" class="reference"><a href="#cite_note-PrimeN-30"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> whose difference in turn is <i>three</i>.</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=31_(number)&action=edit&section=7" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239543626"><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://oeis.org/A003052">"Sloane's A003052 : Self numbers"</a>. <i>The On-Line Encyclopedia of Integer Sequences</i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2016-05-31</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sloane%27s+A003052+%3A+Self+numbers&rft_id=https%3A%2F%2Foeis.org%2FA003052&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-MersP-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-MersP_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-MersP_2-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A000668"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A000668">"Sequence A000668 (Mersenne primes (primes of the form 2^n - 1).)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-06-07</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA000668%26%23x20%3B%28Mersenne+primes+%28primes+of+the+form+2%5En+-+1%29.%29&rft_id=https%3A%2F%2Foeis.org%2FA000668&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A000043"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A000043">"Sequence A000043 (Mersenne exponents: primes p such that 2^p - 1 is prime. Then 2^p - 1 is called a Mersenne prime.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-06-07</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA000043%26%23x20%3B%28Mersenne+exponents%3A+primes+p+such+that+2%5Ep+-+1+is+prime.+Then+2%5Ep+-+1+is+called+a+Mersenne+prime.%29&rft_id=https%3A%2F%2Foeis.org%2FA000043&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A077586"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A077586">"Sequence A077586 (Double Mersenne primes)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-06-07</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA077586%26%23x20%3B%28Double+Mersenne+primes%29&rft_id=https%3A%2F%2Foeis.org%2FA077586&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://oeis.org/A000217">"Sloane's A000217 : Triangular numbers"</a>. <i>The On-Line Encyclopedia oof Integer Sequences</i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2022-09-30</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+oof+Integer+Sequences&rft.atitle=Sloane%27s+A000217+%3A+Triangular+numbers&rft_id=https%3A%2F%2Foeis.org%2FA000217&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-twin-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-twin_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-twin_6-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A228486"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A228486">"Sequence A228486 (Near primorial primes: primes p such that p+1 or p-1 is a primorial number (A002110))"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-06-07</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA228486%26%23x20%3B%28Near+primorial+primes%3A+primes+p+such+that+p%2B1+or+p-1+is+a+primorial+number+%28A002110%29%29&rft_id=https%3A%2F%2Foeis.org%2FA228486&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A077800"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A077800">"Sequence A077800 (List of twin primes {p, p+2}.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-06-07</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA077800%26%23x20%3B%28List+of+twin+primes+%7Bp%2C+p%2B2%7D.%29&rft_id=https%3A%2F%2Foeis.org%2FA077800&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://oeis.org/A031157">"Sloane's A031157 : Numbers that are both lucky and prime"</a>. <i>The On-Line Encyclopedia of Integer Sequences</i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2016-05-31</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sloane%27s+A031157+%3A+Numbers+that+are+both+lucky+and+prime&rft_id=https%3A%2F%2Foeis.org%2FA031157&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://oeis.org/A007770">"Sloane's A007770 : Happy numbers"</a>. <i>The On-Line Encyclopedia of Integer Sequences</i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2016-05-31</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sloane%27s+A007770+%3A+Happy+numbers&rft_id=https%3A%2F%2Foeis.org%2FA007770&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-permutable-10"><span class="mw-cite-backlink">^ <a href="#cite_ref-permutable_10-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-permutable_10-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A003459"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A003459">"Sequence A003459 (Absolute primes (or permutable primes): every permutation of the digits is a prime.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-06-07</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA003459%26%23x20%3B%28Absolute+primes+%28or+permutable+primes%29%3A+every+permutation+of+the+digits+is+a+prime.%29&rft_id=https%3A%2F%2Foeis.org%2FA003459&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFConwayGuy1996" class="citation book cs1"><a href="/wiki/John_Horton_Conway" title="John Horton Conway">Conway, John H.</a>; <a href="/wiki/Richard_K._Guy" title="Richard K. Guy">Guy, Richard K.</a> (1996). <a rel="nofollow" class="external text" href="https://link.springer.com/chapter/10.1007/978-1-4612-4072-3_5">"The Primacy of Primes"</a>. <i>The Book of Numbers</i>. New York, NY: Copernicus (<a href="/wiki/Springer_Publishing" title="Springer Publishing">Springer</a>). pp. 137–142. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-1-4612-4072-3">10.1007/978-1-4612-4072-3</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-4612-8488-8" title="Special:BookSources/978-1-4612-8488-8"><bdi>978-1-4612-8488-8</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/32854557">32854557</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:115239655">115239655</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=The+Primacy+of+Primes&rft.btitle=The+Book+of+Numbers&rft.place=New+York%2C+NY&rft.pages=137-142&rft.pub=Copernicus+%28Springer%29&rft.date=1996&rft_id=info%3Aoclcnum%2F32854557&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A115239655%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.1007%2F978-1-4612-4072-3&rft.isbn=978-1-4612-8488-8&rft.aulast=Conway&rft.aufirst=John+H.&rft.au=Guy%2C+Richard+K.&rft_id=https%3A%2F%2Flink.springer.com%2Fchapter%2F10.1007%2F978-1-4612-4072-3_5&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A004729"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A004729">"Sequence A004729 (... the 31 regular polygons with an odd number of sides constructible with ruler and compass)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-05-26</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA004729%26%23x20%3B%28...+the+31+regular+polygons+with+an+odd+number+of+sides+constructible+with+ruler+and+compass%29&rft_id=https%3A%2F%2Foeis.org%2FA004729&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A000203"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A000203">"Sequence A000203 (The sum of the divisors of n. Also called sigma_1(n).)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2024-01-23</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA000203%26%23x20%3B%28The+sum+of+the+divisors+of+n.+Also+called+sigma_1%28n%29.%29&rft_id=https%3A%2F%2Foeis.org%2FA000203&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A001422"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A001422">"Sequence A001422 (Numbers which are not the sum of distinct squares.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2024-08-03</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA001422%26%23x20%3B%28Numbers+which+are+not+the+sum+of+distinct+squares.%29&rft_id=https%3A%2F%2Foeis.org%2FA001422&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://oeis.org/A002267">"Sloane's A002267 : The 15 supersingular primes"</a>. <i>The On-Line Encyclopedia of Integer Sequences</i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2016-05-31</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sloane%27s+A002267+%3A+The+15+supersingular+primes&rft_id=https%3A%2F%2Foeis.org%2FA002267&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://oeis.org/A005891">"Sloane's A005891 : Centered pentagonal numbers"</a>. <i>The On-Line Encyclopedia of Integer Sequences</i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2016-05-31</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sloane%27s+A005891+%3A+Centered+pentagonal+numbers&rft_id=https%3A%2F%2Foeis.org%2FA005891&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://oeis.org/A005448">"Sloane's A005448 : Centered triangular numbers"</a>. <i>The On-Line Encyclopedia of Integer Sequences</i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2016-05-31</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sloane%27s+A005448+%3A+Centered+triangular+numbers&rft_id=https%3A%2F%2Foeis.org%2FA005448&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-18">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://oeis.org/A062786">"Sloane's A062786 : Centered 10-gonal numbers"</a>. <i>The On-Line Encyclopedia of Integer Sequences</i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2016-05-31</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sloane%27s+A062786+%3A+Centered+10-gonal+numbers&rft_id=https%3A%2F%2Foeis.org%2FA062786&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-19">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHwang,_Frank.1992" class="citation book cs1">Hwang, Frank. (1992). <a rel="nofollow" class="external text" href="https://www.worldcat.org/oclc/316565524"><i>The Steiner tree problem</i></a>. <a href="/wiki/Dana_S._Richards" title="Dana S. Richards">Richards</a>, Dana, 1955-, Winter, Pawel, 1952-. Amsterdam: North-Holland. p. 14. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-444-89098-6" title="Special:BookSources/978-0-444-89098-6"><bdi>978-0-444-89098-6</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/316565524">316565524</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Steiner+tree+problem&rft.place=Amsterdam&rft.pages=14&rft.pub=North-Holland&rft.date=1992&rft_id=info%3Aoclcnum%2F316565524&rft.isbn=978-0-444-89098-6&rft.au=Hwang%2C+Frank.&rft_id=https%3A%2F%2Fwww.worldcat.org%2Foclc%2F316565524&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-20"><span class="mw-cite-backlink"><b><a href="#cite_ref-20">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A002321"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A002321">"Sequence A002321 (Mertens's function)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-06-07</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA002321%26%23x20%3B%28Mertens%27s+function%29&rft_id=https%3A%2F%2Foeis.org%2FA002321&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-21"><span class="mw-cite-backlink"><b><a href="#cite_ref-21">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A072136"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A072136">"Sequence A072136 (Position of the first zero in the fractional part of the base n expansion of Pi.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2024-05-30</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA072136%26%23x20%3B%28Position+of+the+first+zero+in+the+fractional+part+of+the+base+n+expansion+of+Pi.%29&rft_id=https%3A%2F%2Foeis.org%2FA072136&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-22"><span class="mw-cite-backlink"><b><a href="#cite_ref-22">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A046974"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A046974">"Sequence A046974 (Partial sums of digits of decimal expansion of Pi.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA046974%26%23x20%3B%28Partial+sums+of+digits+of+decimal+expansion+of+Pi.%29&rft_id=https%3A%2F%2Foeis.org%2FA046974&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-23">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A133213"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A133213">"Sequence A133213 (Prime partial sums of digits of decimal expansion of pi (A000796).)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2024-06-02</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA133213%26%23x20%3B%28Prime+partial+sums+of+digits+of+decimal+expansion+of+pi+%28A000796%29.%29&rft_id=https%3A%2F%2Foeis.org%2FA133213&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-24"><span class="mw-cite-backlink"><b><a href="#cite_ref-24">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A276111"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A276111">"Sequence A276111 (Decimal expansion of Pi truncated to numbers such that the partial sums of the decimal digits are perfect squares.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2024-06-02</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA276111%26%23x20%3B%28Decimal+expansion+of+Pi+truncated+to+numbers+such+that+the+partial+sums+of+the+decimal+digits+are+perfect+squares.%29&rft_id=https%3A%2F%2Foeis.org%2FA276111&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-26"><span class="mw-cite-backlink"><b><a href="#cite_ref-26">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A006862"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A006862">"Sequence A006862 (Euclid numbers: 1 + product of the first n primes.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-10-01</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA006862%26%23x20%3B%28Euclid+numbers%3A+1+%2B+product+of+the+first+n+primes.%29&rft_id=https%3A%2F%2Foeis.org%2FA006862&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-28"><span class="mw-cite-backlink"><b><a href="#cite_ref-28">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFConwayGuy1996" class="citation book cs1"><a href="/wiki/John_Horton_Conway" title="John Horton Conway">Conway, John H.</a>; <a href="/wiki/Richard_K._Guy" title="Richard K. Guy">Guy, Richard K.</a> (1996). <a rel="nofollow" class="external text" href="https://link.springer.com/chapter/10.1007/978-1-4612-4072-3_5">"The Primacy of Primes"</a>. <i>The Book of Numbers</i>. New York, NY: Copernicus (<a href="/wiki/Springer_Publishing" title="Springer Publishing">Springer</a>). pp. 133–135. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-1-4612-4072-3">10.1007/978-1-4612-4072-3</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-4612-8488-8" title="Special:BookSources/978-1-4612-8488-8"><bdi>978-1-4612-8488-8</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/32854557">32854557</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:115239655">115239655</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=The+Primacy+of+Primes&rft.btitle=The+Book+of+Numbers&rft.place=New+York%2C+NY&rft.pages=133-135&rft.pub=Copernicus+%28Springer%29&rft.date=1996&rft_id=info%3Aoclcnum%2F32854557&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A115239655%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.1007%2F978-1-4612-4072-3&rft.isbn=978-1-4612-8488-8&rft.aulast=Conway&rft.aufirst=John+H.&rft.au=Guy%2C+Richard+K.&rft_id=https%3A%2F%2Flink.springer.com%2Fchapter%2F10.1007%2F978-1-4612-4072-3_5&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-29"><span class="mw-cite-backlink"><b><a href="#cite_ref-29">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A006567"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A006567">"Sequence A006567 (Emirps (primes whose reversal is a different prime).)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2023-06-16</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA006567%26%23x20%3B%28Emirps+%28primes+whose+reversal+is+a+different+prime%29.%29&rft_id=https%3A%2F%2Foeis.org%2FA006567&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-PrimeN-30"><span class="mw-cite-backlink">^ <a href="#cite_ref-PrimeN_30-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-PrimeN_30-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-PrimeN_30-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-PrimeN_30-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A00040"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A00040">"Sequence A00040 (The prime numbers.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2024-02-09</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA00040%26%23x20%3B%28The+prime+numbers.%29&rft_id=https%3A%2F%2Foeis.org%2FA00040&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-31"><span class="mw-cite-backlink"><b><a href="#cite_ref-31">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A002808"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A002808">"Sequence A002808 (The composite numbers: numbers n of the form x*y for x greater than 1 and y greater than 1.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2024-02-10</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA002808%26%23x20%3B%28The+composite+numbers%3A+numbers+n+of+the+form+x%2Ay+for+x+greater+than+1+and+y+greater+than+1.%29&rft_id=https%3A%2F%2Foeis.org%2FA002808&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-33"><span class="mw-cite-backlink"><b><a href="#cite_ref-33">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSloane_"A051402"" class="citation web cs1"><a href="/wiki/Neil_Sloane" title="Neil Sloane">Sloane, N. J. A.</a> (ed.). <a rel="nofollow" class="external text" href="https://oeis.org/A051402">"Sequence A051402 (Inverse Mertens function: smallest k such that |M(k)| is n, where M(x) is Mertens's function A002321.)"</a>. <i>The <a href="/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="On-Line Encyclopedia of Integer Sequences">On-Line Encyclopedia of Integer Sequences</a></i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2024-02-08</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA051402%26%23x20%3B%28Inverse+Mertens+function%3A+smallest+k+such+that+%7CM%28k%29%7C+is+n%2C+where+M%28x%29+is+Mertens%27s+function+A002321.%29&rft_id=https%3A%2F%2Foeis.org%2FA051402&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-34"><span class="mw-cite-backlink"><b><a href="#cite_ref-34">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://oeis.org/A000127">"Sloane's A000127 : Maximal number of regions obtained by joining n points around a circle by straight lines"</a>. <i>The On-Line Encyclopedia of Integer Sequences</i>. OEIS Foundation<span class="reference-accessdate">. Retrieved <span class="nowrap">2022-09-30</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sloane%27s+A000127+%3A+Maximal+number+of+regions+obtained+by+joining+n+points+around+a+circle+by+straight+lines.&rft_id=https%3A%2F%2Foeis.org%2FA000127&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> <li id="cite_note-35"><span class="mw-cite-backlink"><b><a href="#cite_ref-35">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHart1998" class="citation book cs1"><a href="/wiki/George_W._Hart" title="George W. Hart">Hart, George W.</a> (1998). <a rel="nofollow" class="external text" href="http://t.archive.bridgesmathart.org/1998/bridges1998-195.pdf">"Icosahedral Constructions"</a> <span class="cs1-format">(PDF)</span>. In Sarhangi, Reza (ed.). <i>Bridges: Mathematical Connections in Art, Music, and Science</i>. <a href="/wiki/The_Bridges_Organization" title="The Bridges Organization">Proceedings of the Bridges Conference</a>. Winfield, Kansas. p. 196. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0966520101" title="Special:BookSources/978-0966520101"><bdi>978-0966520101</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/59580549">59580549</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:202679388">202679388</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Icosahedral+Constructions&rft.btitle=Bridges%3A+Mathematical+Connections+in+Art%2C+Music%2C+and+Science&rft.place=Winfield%2C+Kansas&rft.series=Proceedings+of+the+Bridges+Conference&rft.pages=196&rft.date=1998&rft_id=info%3Aoclcnum%2F59580549&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A202679388%23id-name%3DS2CID&rft.isbn=978-0966520101&rft.aulast=Hart&rft.aufirst=George+W.&rft_id=http%3A%2F%2Ft.archive.bridgesmathart.org%2F1998%2Fbridges1998-195.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_book" title="Template:Cite book">cite book</a>}}</code>: CS1 maint: location missing publisher (<a href="/wiki/Category:CS1_maint:_location_missing_publisher" title="Category:CS1 maint: location missing publisher">link</a>)</span></span> </li> <li id="cite_note-36"><span class="mw-cite-backlink"><b><a href="#cite_ref-36">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://tureng.com/tr/turkce-ingilizce/31%20%C3%A7ekmek">"Tureng - 31 çekmek - Türkçe İngilizce Sözlük"</a>. <i>tureng.com</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2023-01-18</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=tureng.com&rft.atitle=Tureng+-+31+%C3%A7ekmek+-+T%C3%BCrk%C3%A7e+%C4%B0ngilizce+S%C3%B6zl%C3%BCk&rft_id=https%3A%2F%2Ftureng.com%2Ftr%2Fturkce-ingilizce%2F31%2520%25C3%25A7ekmek&rfr_id=info%3Asid%2Fen.wikipedia.org%3A31+%28number%29" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=31_(number)&action=edit&section=8" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid 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(number)">43</a></li> <li><a href="/wiki/44_(number)" title="44 (number)">44</a></li> <li><a href="/wiki/45_(number)" title="45 (number)">45</a></li> <li><a href="/wiki/46_(number)" title="46 (number)">46</a></li> <li><a href="/wiki/47_(number)" title="47 (number)">47</a></li> <li><a href="/wiki/48_(number)" title="48 (number)">48</a></li> <li><a href="/wiki/49_(number)" title="49 (number)">49</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/50_(number)" title="50 (number)">50</a></li> <li><a href="/wiki/51_(number)" title="51 (number)">51</a></li> <li><a href="/wiki/52_(number)" title="52 (number)">52</a></li> <li><a href="/wiki/53_(number)" title="53 (number)">53</a></li> <li><a href="/wiki/54_(number)" title="54 (number)">54</a></li> <li><a href="/wiki/55_(number)" title="55 (number)">55</a></li> <li><a href="/wiki/56_(number)" title="56 (number)">56</a></li> <li><a href="/wiki/57_(number)" title="57 (number)">57</a></li> <li><a href="/wiki/58_(number)" title="58 (number)">58</a></li> <li><a href="/wiki/59_(number)" title="59 (number)">59</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/60_(number)" title="60 (number)">60</a></li> <li><a href="/wiki/61_(number)" title="61 (number)">61</a></li> <li><a href="/wiki/62_(number)" title="62 (number)">62</a></li> <li><a href="/wiki/63_(number)" title="63 (number)">63</a></li> <li><a href="/wiki/64_(number)" title="64 (number)">64</a></li> <li><a href="/wiki/65_(number)" title="65 (number)">65</a></li> <li><a href="/wiki/66_(number)" title="66 (number)">66</a></li> <li><a href="/wiki/67_(number)" title="67 (number)">67</a></li> <li><a href="/wiki/68_(number)" title="68 (number)">68</a></li> <li><a href="/wiki/69_(number)" title="69 (number)">69</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/70_(number)" title="70 (number)">70</a></li> <li><a href="/wiki/71_(number)" title="71 (number)">71</a></li> <li><a href="/wiki/72_(number)" title="72 (number)">72</a></li> <li><a href="/wiki/73_(number)" title="73 (number)">73</a></li> <li><a href="/wiki/74_(number)" title="74 (number)">74</a></li> <li><a href="/wiki/75_(number)" title="75 (number)">75</a></li> <li><a href="/wiki/76_(number)" title="76 (number)">76</a></li> <li><a href="/wiki/77_(number)" title="77 (number)">77</a></li> <li><a href="/wiki/78_(number)" title="78 (number)">78</a></li> <li><a href="/wiki/79_(number)" title="79 (number)">79</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/80_(number)" title="80 (number)">80</a></li> <li><a href="/wiki/81_(number)" title="81 (number)">81</a></li> <li><a href="/wiki/82_(number)" title="82 (number)">82</a></li> <li><a href="/wiki/83_(number)" title="83 (number)">83</a></li> <li><a href="/wiki/84_(number)" title="84 (number)">84</a></li> <li><a href="/wiki/85_(number)" title="85 (number)">85</a></li> <li><a href="/wiki/86_(number)" title="86 (number)">86</a></li> <li><a href="/wiki/87_(number)" title="87 (number)">87</a></li> <li><a href="/wiki/88_(number)" title="88 (number)">88</a></li> <li><a href="/wiki/89_(number)" title="89 (number)">89</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/90_(number)" title="90 (number)">90</a></li> <li><a href="/wiki/91_(number)" title="91 (number)">91</a></li> <li><a href="/wiki/92_(number)" title="92 (number)">92</a></li> <li><a href="/wiki/93_(number)" title="93 (number)">93</a></li> <li><a href="/wiki/94_(number)" title="94 (number)">94</a></li> <li><a href="/wiki/95_(number)" title="95 (number)">95</a></li> <li><a href="/wiki/96_(number)" title="96 (number)">96</a></li> <li><a href="/wiki/97_(number)" title="97 (number)">97</a></li> <li><a href="/wiki/98_(number)" title="98 (number)">98</a></li> <li><a href="/wiki/99_(number)" title="99 (number)">99</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="100s" style="font-size:114%;margin:0 4em"><a href="/wiki/100" title="100">100s</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/100" title="100">100</a></li> <li><a href="/wiki/101_(number)" title="101 (number)">101</a></li> <li><a href="/wiki/102_(number)" title="102 (number)">102</a></li> <li><a href="/wiki/103_(number)" title="103 (number)">103</a></li> <li><a href="/wiki/104_(number)" title="104 (number)">104</a></li> <li><a href="/wiki/105_(number)" title="105 (number)">105</a></li> <li><a href="/wiki/106_(number)" title="106 (number)">106</a></li> <li><a href="/wiki/107_(number)" title="107 (number)">107</a></li> <li><a href="/wiki/108_(number)" title="108 (number)">108</a></li> <li><a href="/wiki/109_(number)" title="109 (number)">109</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/110_(number)" title="110 (number)">110</a></li> <li><a href="/wiki/111_(number)" title="111 (number)">111</a></li> <li><a href="/wiki/112_(number)" title="112 (number)">112</a></li> <li><a href="/wiki/113_(number)" title="113 (number)">113</a></li> <li><a href="/wiki/114_(number)" title="114 (number)">114</a></li> <li><a href="/wiki/115_(number)" title="115 (number)">115</a></li> <li><a href="/wiki/116_(number)" title="116 (number)">116</a></li> <li><a href="/wiki/117_(number)" title="117 (number)">117</a></li> <li><a href="/wiki/118_(number)" title="118 (number)">118</a></li> <li><a href="/wiki/119_(number)" title="119 (number)">119</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/120_(number)" title="120 (number)">120</a></li> <li><a href="/wiki/121_(number)" title="121 (number)">121</a></li> <li><a href="/wiki/122_(number)" title="122 (number)">122</a></li> <li><a href="/wiki/123_(number)" title="123 (number)">123</a></li> <li><a href="/wiki/124_(number)" title="124 (number)">124</a></li> <li><a href="/wiki/125_(number)" title="125 (number)">125</a></li> <li><a href="/wiki/126_(number)" title="126 (number)">126</a></li> <li><a href="/wiki/127_(number)" title="127 (number)">127</a></li> <li><a href="/wiki/128_(number)" title="128 (number)">128</a></li> <li><a href="/wiki/129_(number)" title="129 (number)">129</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/130_(number)" title="130 (number)">130</a></li> <li><a href="/wiki/131_(number)" title="131 (number)">131</a></li> <li><a href="/wiki/132_(number)" title="132 (number)">132</a></li> <li><a href="/wiki/133_(number)" title="133 (number)">133</a></li> <li><a href="/wiki/134_(number)" title="134 (number)">134</a></li> <li><a href="/wiki/135_(number)" title="135 (number)">135</a></li> <li><a href="/wiki/136_(number)" title="136 (number)">136</a></li> <li><a href="/wiki/137_(number)" title="137 (number)">137</a></li> <li><a href="/wiki/138_(number)" title="138 (number)">138</a></li> <li><a href="/wiki/139_(number)" title="139 (number)">139</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/140_(number)" title="140 (number)">140</a></li> <li><a href="/wiki/141_(number)" title="141 (number)">141</a></li> <li><a href="/wiki/142_(number)" title="142 (number)">142</a></li> <li><a href="/wiki/143_(number)" title="143 (number)">143</a></li> <li><a href="/wiki/144_(number)" title="144 (number)">144</a></li> <li><a href="/wiki/145_(number)" title="145 (number)">145</a></li> <li><a href="/wiki/146_(number)" title="146 (number)">146</a></li> <li><a href="/wiki/147_(number)" title="147 (number)">147</a></li> <li><a href="/wiki/148_(number)" title="148 (number)">148</a></li> <li><a href="/wiki/149_(number)" title="149 (number)">149</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/150_(number)" title="150 (number)">150</a></li> <li><a href="/wiki/151_(number)" title="151 (number)">151</a></li> <li><a href="/wiki/152_(number)" title="152 (number)">152</a></li> <li><a href="/wiki/153_(number)" title="153 (number)">153</a></li> <li><a href="/wiki/154_(number)" title="154 (number)">154</a></li> <li><a href="/wiki/155_(number)" title="155 (number)">155</a></li> <li><a href="/wiki/156_(number)" title="156 (number)">156</a></li> <li><a href="/wiki/157_(number)" title="157 (number)">157</a></li> <li><a href="/wiki/158_(number)" title="158 (number)">158</a></li> <li><a href="/wiki/159_(number)" title="159 (number)">159</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/160_(number)" title="160 (number)">160</a></li> <li><a href="/wiki/161_(number)" title="161 (number)">161</a></li> <li><a href="/wiki/162_(number)" title="162 (number)">162</a></li> <li><a href="/wiki/163_(number)" title="163 (number)">163</a></li> <li><a href="/wiki/164_(number)" title="164 (number)">164</a></li> <li><a href="/wiki/165_(number)" title="165 (number)">165</a></li> <li><a href="/wiki/166_(number)" title="166 (number)">166</a></li> <li><a href="/wiki/167_(number)" title="167 (number)">167</a></li> <li><a href="/wiki/168_(number)" title="168 (number)">168</a></li> <li><a href="/wiki/169_(number)" title="169 (number)">169</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/170_(number)" title="170 (number)">170</a></li> <li><a href="/wiki/171_(number)" title="171 (number)">171</a></li> <li><a href="/wiki/172_(number)" title="172 (number)">172</a></li> <li><a href="/wiki/173_(number)" title="173 (number)">173</a></li> <li><a href="/wiki/174_(number)" title="174 (number)">174</a></li> <li><a href="/wiki/175_(number)" title="175 (number)">175</a></li> <li><a href="/wiki/176_(number)" title="176 (number)">176</a></li> <li><a href="/wiki/177_(number)" title="177 (number)">177</a></li> <li><a href="/wiki/178_(number)" title="178 (number)">178</a></li> <li><a href="/wiki/179_(number)" title="179 (number)">179</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/180_(number)" title="180 (number)">180</a></li> <li><a href="/wiki/181_(number)" title="181 (number)">181</a></li> <li><a href="/wiki/182_(number)" title="182 (number)">182</a></li> <li><a href="/wiki/183_(number)" title="183 (number)">183</a></li> <li><a href="/wiki/184_(number)" title="184 (number)">184</a></li> <li><a href="/wiki/185_(number)" title="185 (number)">185</a></li> <li><a href="/wiki/186_(number)" title="186 (number)">186</a></li> <li><a href="/wiki/187_(number)" title="187 (number)">187</a></li> <li><a href="/wiki/188_(number)" title="188 (number)">188</a></li> <li><a href="/wiki/189_(number)" title="189 (number)">189</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/190_(number)" title="190 (number)">190</a></li> <li><a href="/wiki/191_(number)" title="191 (number)">191</a></li> <li><a href="/wiki/192_(number)" title="192 (number)">192</a></li> <li><a href="/wiki/193_(number)" title="193 (number)">193</a></li> <li><a href="/wiki/194_(number)" title="194 (number)">194</a></li> <li><a href="/wiki/195_(number)" title="195 (number)">195</a></li> <li><a href="/wiki/196_(number)" title="196 (number)">196</a></li> <li><a href="/wiki/197_(number)" title="197 (number)">197</a></li> <li><a href="/wiki/198_(number)" title="198 (number)">198</a></li> <li><a href="/wiki/199_(number)" title="199 (number)">199</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="200s" style="font-size:114%;margin:0 4em"><a href="/wiki/200_(number)" title="200 (number)">200s</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/200_(number)" title="200 (number)">200</a></li> <li><a href="/wiki/201_(number)" title="201 (number)">201</a></li> <li><a href="/wiki/202_(number)" title="202 (number)">202</a></li> <li><a href="/wiki/203_(number)" title="203 (number)">203</a></li> <li><a href="/wiki/204_(number)" title="204 (number)">204</a></li> <li><a href="/wiki/205_(number)" title="205 (number)">205</a></li> <li><a href="/wiki/206_(number)" title="206 (number)">206</a></li> <li><a href="/wiki/207_(number)" title="207 (number)">207</a></li> <li><a href="/wiki/208_(number)" title="208 (number)">208</a></li> <li><a href="/wiki/209_(number)" title="209 (number)">209</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/210_(number)" title="210 (number)">210</a></li> <li><a href="/wiki/211_(number)" title="211 (number)">211</a></li> <li><a href="/wiki/212_(number)" title="212 (number)">212</a></li> <li><a href="/wiki/213_(number)" title="213 (number)">213</a></li> <li><a href="/wiki/214_(number)" title="214 (number)">214</a></li> <li><a href="/wiki/215_(number)" title="215 (number)">215</a></li> <li><a href="/wiki/216_(number)" title="216 (number)">216</a></li> <li><a href="/wiki/217_(number)" title="217 (number)">217</a></li> <li><a href="/wiki/218_(number)" title="218 (number)">218</a></li> <li><a href="/wiki/219_(number)" title="219 (number)">219</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/220_(number)" title="220 (number)">220</a></li> <li><a href="/wiki/221_(number)" title="221 (number)">221</a></li> <li><a href="/wiki/222_(number)" title="222 (number)">222</a></li> <li><a href="/wiki/223_(number)" title="223 (number)">223</a></li> <li><a href="/wiki/224_(number)" title="224 (number)">224</a></li> <li><a href="/wiki/225_(number)" title="225 (number)">225</a></li> <li><a href="/wiki/226_(number)" title="226 (number)">226</a></li> <li><a href="/wiki/227_(number)" title="227 (number)">227</a></li> <li><a href="/wiki/228_(number)" title="228 (number)">228</a></li> <li><a href="/wiki/229_(number)" title="229 (number)">229</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/230_(number)" title="230 (number)">230</a></li> <li><a href="/wiki/231_(number)" title="231 (number)">231</a></li> <li><a href="/wiki/232_(number)" title="232 (number)">232</a></li> <li><a href="/wiki/233_(number)" title="233 (number)">233</a></li> <li><a href="/wiki/234_(number)" title="234 (number)">234</a></li> <li><a href="/wiki/235_(number)" title="235 (number)">235</a></li> <li><a href="/wiki/236_(number)" title="236 (number)">236</a></li> <li><a href="/wiki/237_(number)" title="237 (number)">237</a></li> <li><a href="/wiki/238_(number)" title="238 (number)">238</a></li> <li><a href="/wiki/239_(number)" title="239 (number)">239</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/240_(number)" title="240 (number)">240</a></li> <li><a href="/wiki/241_(number)" title="241 (number)">241</a></li> <li><a href="/wiki/242_(number)" title="242 (number)">242</a></li> <li><a href="/wiki/243_(number)" title="243 (number)">243</a></li> <li><a href="/wiki/244_(number)" title="244 (number)">244</a></li> <li><a href="/wiki/245_(number)" title="245 (number)">245</a></li> <li><a href="/wiki/246_(number)" title="246 (number)">246</a></li> <li><a href="/wiki/247_(number)" title="247 (number)">247</a></li> <li><a href="/wiki/248_(number)" title="248 (number)">248</a></li> <li><a href="/wiki/249_(number)" title="249 (number)">249</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/250_(number)" title="250 (number)">250</a></li> <li><a href="/wiki/251_(number)" title="251 (number)">251</a></li> <li><a href="/wiki/252_(number)" title="252 (number)">252</a></li> <li><a href="/wiki/253_(number)" title="253 (number)">253</a></li> <li><a href="/wiki/254_(number)" title="254 (number)">254</a></li> <li><a href="/wiki/255_(number)" title="255 (number)">255</a></li> <li><a href="/wiki/256_(number)" title="256 (number)">256</a></li> <li><a href="/wiki/257_(number)" title="257 (number)">257</a></li> <li><a href="/wiki/258_(number)" title="258 (number)">258</a></li> <li><a href="/wiki/259_(number)" title="259 (number)">259</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/260_(number)" title="260 (number)">260</a></li> <li><a href="/wiki/261_(number)" title="261 (number)">261</a></li> <li><a href="/wiki/262_(number)" title="262 (number)">262</a></li> <li><a href="/wiki/263_(number)" title="263 (number)">263</a></li> <li><a href="/wiki/264_(number)" title="264 (number)">264</a></li> <li><a href="/wiki/265_(number)" title="265 (number)">265</a></li> <li><a href="/wiki/266_(number)" title="266 (number)">266</a></li> <li><a href="/wiki/267_(number)" title="267 (number)">267</a></li> <li><a href="/wiki/268_(number)" title="268 (number)">268</a></li> <li><a href="/wiki/269_(number)" title="269 (number)">269</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/270_(number)" title="270 (number)">270</a></li> <li><a href="/wiki/271_(number)" title="271 (number)">271</a></li> <li><a href="/wiki/272_(number)" title="272 (number)">272</a></li> <li><a href="/wiki/273_(number)" title="273 (number)">273</a></li> <li><a href="/wiki/274_(number)" title="274 (number)">274</a></li> <li><a href="/wiki/275_(number)" title="275 (number)">275</a></li> <li><a href="/wiki/276_(number)" title="276 (number)">276</a></li> <li><a href="/wiki/277_(number)" title="277 (number)">277</a></li> <li><a href="/wiki/278_(number)" title="278 (number)">278</a></li> <li><a href="/wiki/279_(number)" title="279 (number)">279</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/280_(number)" title="280 (number)">280</a></li> <li><a href="/wiki/281_(number)" title="281 (number)">281</a></li> <li><a href="/wiki/282_(number)" title="282 (number)">282</a></li> <li><a href="/wiki/283_(number)" title="283 (number)">283</a></li> <li><a href="/wiki/284_(number)" title="284 (number)">284</a></li> <li><a href="/wiki/285_(number)" title="285 (number)">285</a></li> <li><a href="/wiki/286_(number)" title="286 (number)">286</a></li> <li><a href="/wiki/287_(number)" title="287 (number)">287</a></li> <li><a href="/wiki/288_(number)" title="288 (number)">288</a></li> <li><a href="/wiki/289_(number)" title="289 (number)">289</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/290_(number)" title="290 (number)">290</a></li> <li><a href="/wiki/291_(number)" title="291 (number)">291</a></li> <li><a href="/wiki/292_(number)" title="292 (number)">292</a></li> <li><a href="/wiki/293_(number)" title="293 (number)">293</a></li> <li><a href="/wiki/294_(number)" title="294 (number)">294</a></li> <li><a href="/wiki/295_(number)" title="295 (number)">295</a></li> <li><a href="/wiki/296_(number)" title="296 (number)">296</a></li> <li><a href="/wiki/297_(number)" title="297 (number)">297</a></li> <li><a href="/wiki/298_(number)" title="298 (number)">298</a></li> <li><a href="/wiki/299_(number)" title="299 (number)">299</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="300s" style="font-size:114%;margin:0 4em"><a href="/wiki/300_(number)" title="300 (number)">300s</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/300_(number)" title="300 (number)">300</a></li> <li><a href="/wiki/301_(number)" title="301 (number)">301</a></li> <li><a href="/wiki/302_(number)" title="302 (number)">302</a></li> <li><a href="/wiki/303_(number)" title="303 (number)">303</a></li> <li><a href="/wiki/304_(number)" title="304 (number)">304</a></li> <li><a href="/wiki/305_(number)" title="305 (number)">305</a></li> <li><a href="/wiki/306_(number)" title="306 (number)">306</a></li> <li><a href="/wiki/307_(number)" title="307 (number)">307</a></li> <li><a href="/wiki/308_(number)" title="308 (number)">308</a></li> <li><a href="/wiki/309_(number)" title="309 (number)">309</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/310_(number)" title="310 (number)">310</a></li> <li><a href="/wiki/311_(number)" title="311 (number)">311</a></li> <li><a href="/wiki/312_(number)" title="312 (number)">312</a></li> <li><a href="/wiki/313_(number)" title="313 (number)">313</a></li> <li><a href="/wiki/314_(number)" title="314 (number)">314</a></li> <li><a href="/wiki/315_(number)" class="mw-redirect" title="315 (number)">315</a></li> <li><a href="/wiki/316_(number)" class="mw-redirect" title="316 (number)">316</a></li> <li><a href="/wiki/317_(number)" class="mw-redirect" title="317 (number)">317</a></li> <li><a href="/wiki/318_(number)" title="318 (number)">318</a></li> <li><a href="/wiki/319_(number)" class="mw-redirect" title="319 (number)">319</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/320_(number)" class="mw-redirect" title="320 (number)">320</a></li> <li><a href="/wiki/321_(number)" class="mw-redirect" title="321 (number)">321</a></li> <li><a href="/wiki/322_(number)" class="mw-redirect" title="322 (number)">322</a></li> <li><a href="/wiki/323_(number)" class="mw-redirect" title="323 (number)">323</a></li> <li><a href="/wiki/324_(number)" class="mw-redirect" title="324 (number)">324</a></li> <li><a href="/wiki/325_(number)" class="mw-redirect" title="325 (number)">325</a></li> <li><a href="/wiki/326_(number)" class="mw-redirect" title="326 (number)">326</a></li> <li><a href="/wiki/327_(number)" class="mw-redirect" title="327 (number)">327</a></li> <li><a href="/wiki/328_(number)" class="mw-redirect" title="328 (number)">328</a></li> <li><a href="/wiki/329_(number)" class="mw-redirect" title="329 (number)">329</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/330_(number)" class="mw-redirect" title="330 (number)">330</a></li> <li><a href="/wiki/331_(number)" class="mw-redirect" title="331 (number)">331</a></li> <li><a href="/wiki/332_(number)" class="mw-redirect" title="332 (number)">332</a></li> <li><a href="/wiki/333_(number)" class="mw-redirect" title="333 (number)">333</a></li> <li><a href="/wiki/334_(number)" class="mw-redirect" title="334 (number)">334</a></li> <li><a href="/wiki/335_(number)" class="mw-redirect" title="335 (number)">335</a></li> <li><a href="/wiki/336_(number)" class="mw-redirect" title="336 (number)">336</a></li> <li><a href="/wiki/337_(number)" class="mw-redirect" title="337 (number)">337</a></li> <li><a href="/wiki/338_(number)" class="mw-redirect" title="338 (number)">338</a></li> <li><a href="/wiki/339_(number)" class="mw-redirect" title="339 (number)">339</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/340_(number)" class="mw-redirect" title="340 (number)">340</a></li> <li><a href="/wiki/341_(number)" class="mw-redirect" title="341 (number)">341</a></li> <li><a href="/wiki/342_(number)" class="mw-redirect" title="342 (number)">342</a></li> <li><a href="/wiki/343_(number)" class="mw-redirect" title="343 (number)">343</a></li> <li><a href="/wiki/344_(number)" class="mw-redirect" title="344 (number)">344</a></li> <li><a href="/wiki/345_(number)" class="mw-redirect" title="345 (number)">345</a></li> <li><a href="/wiki/346_(number)" class="mw-redirect" title="346 (number)">346</a></li> <li><a href="/wiki/347_(number)" class="mw-redirect" title="347 (number)">347</a></li> <li><a href="/wiki/348_(number)" class="mw-redirect" title="348 (number)">348</a></li> <li><a href="/wiki/349_(number)" class="mw-redirect" title="349 (number)">349</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/350_(number)" class="mw-redirect" title="350 (number)">350</a></li> <li><a href="/wiki/351_(number)" class="mw-redirect" title="351 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href="/wiki/362_(number)" class="mw-redirect" title="362 (number)">362</a></li> <li><a href="/wiki/363_(number)" title="363 (number)">363</a></li> <li><a href="/wiki/364_(number)" class="mw-redirect" title="364 (number)">364</a></li> <li><a href="/wiki/365_(number)" title="365 (number)">365</a></li> <li><a href="/wiki/366_(number)" class="mw-redirect" title="366 (number)">366</a></li> <li><a href="/wiki/367_(number)" class="mw-redirect" title="367 (number)">367</a></li> <li><a href="/wiki/368_(number)" class="mw-redirect" title="368 (number)">368</a></li> <li><a href="/wiki/369_(number)" title="369 (number)">369</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/370_(number)" class="mw-redirect" title="370 (number)">370</a></li> <li><a href="/wiki/371_(number)" class="mw-redirect" title="371 (number)">371</a></li> <li><a href="/wiki/372_(number)" class="mw-redirect" title="372 (number)">372</a></li> <li><a href="/wiki/373_(number)" class="mw-redirect" title="373 (number)">373</a></li> <li><a href="/wiki/374_(number)" class="mw-redirect" title="374 (number)">374</a></li> <li><a href="/wiki/375_(number)" class="mw-redirect" title="375 (number)">375</a></li> <li><a href="/wiki/376_(number)" class="mw-redirect" title="376 (number)">376</a></li> <li><a href="/wiki/377_(number)" class="mw-redirect" title="377 (number)">377</a></li> <li><a href="/wiki/378_(number)" class="mw-redirect" title="378 (number)">378</a></li> <li><a href="/wiki/379_(number)" class="mw-redirect" title="379 (number)">379</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/380_(number)" class="mw-redirect" title="380 (number)">380</a></li> <li><a href="/wiki/381_(number)" class="mw-redirect" title="381 (number)">381</a></li> <li><a href="/wiki/382_(number)" class="mw-redirect" title="382 (number)">382</a></li> <li><a href="/wiki/383_(number)" class="mw-redirect" title="383 (number)">383</a></li> <li><a href="/wiki/384_(number)" title="384 (number)">384</a></li> <li><a href="/wiki/385_(number)" class="mw-redirect" title="385 (number)">385</a></li> <li><a href="/wiki/386_(number)" class="mw-redirect" title="386 (number)">386</a></li> <li><a href="/wiki/387_(number)" class="mw-redirect" title="387 (number)">387</a></li> <li><a href="/wiki/388_(number)" class="mw-redirect" title="388 (number)">388</a></li> <li><a href="/wiki/389_(number)" class="mw-redirect" title="389 (number)">389</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/390_(number)" class="mw-redirect" title="390 (number)">390</a></li> <li><a href="/wiki/391_(number)" class="mw-redirect" title="391 (number)">391</a></li> <li><a href="/wiki/392_(number)" class="mw-redirect" title="392 (number)">392</a></li> <li><a href="/wiki/393_(number)" class="mw-redirect" title="393 (number)">393</a></li> <li><a href="/wiki/394_(number)" class="mw-redirect" title="394 (number)">394</a></li> <li><a href="/wiki/395_(number)" class="mw-redirect" title="395 (number)">395</a></li> <li><a href="/wiki/396_(number)" class="mw-redirect" title="396 (number)">396</a></li> <li><a href="/wiki/397_(number)" class="mw-redirect" title="397 (number)">397</a></li> <li><a href="/wiki/398_(number)" class="mw-redirect" title="398 (number)">398</a></li> <li><a href="/wiki/399_(number)" class="mw-redirect" title="399 (number)">399</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" 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title="418 (number)">418</a></li> <li><a href="/wiki/419_(number)" class="mw-redirect" title="419 (number)">419</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/420_(number)" title="420 (number)">420</a></li> <li><a href="/wiki/421_(number)" class="mw-redirect" title="421 (number)">421</a></li> <li><a href="/wiki/422_(number)" class="mw-redirect" title="422 (number)">422</a></li> <li><a href="/wiki/423_(number)" class="mw-redirect" title="423 (number)">423</a></li> <li><a href="/wiki/424_(number)" class="mw-redirect" title="424 (number)">424</a></li> <li><a href="/wiki/425_(number)" class="mw-redirect" title="425 (number)">425</a></li> <li><a href="/wiki/426_(number)" class="mw-redirect" title="426 (number)">426</a></li> <li><a href="/wiki/427_(number)" class="mw-redirect" title="427 (number)">427</a></li> <li><a href="/wiki/428_(number)" class="mw-redirect" title="428 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title="438 (number)">438</a></li> <li><a href="/wiki/439_(number)" class="mw-redirect" title="439 (number)">439</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/440_(number)" title="440 (number)">440</a></li> <li><a href="/wiki/441_(number)" class="mw-redirect" title="441 (number)">441</a></li> <li><a href="/wiki/442_(number)" class="mw-redirect" title="442 (number)">442</a></li> <li><a href="/wiki/443_(number)" class="mw-redirect" title="443 (number)">443</a></li> <li><a href="/wiki/444_(number)" class="mw-redirect" title="444 (number)">444</a></li> <li><a href="/wiki/445_(number)" class="mw-redirect" title="445 (number)">445</a></li> <li><a href="/wiki/446_(number)" class="mw-redirect" title="446 (number)">446</a></li> <li><a href="/wiki/447_(number)" class="mw-redirect" title="447 (number)">447</a></li> <li><a href="/wiki/448_(number)" class="mw-redirect" title="448 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title="458 (number)">458</a></li> <li><a href="/wiki/459_(number)" class="mw-redirect" title="459 (number)">459</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/460_(number)" class="mw-redirect" title="460 (number)">460</a></li> <li><a href="/wiki/461_(number)" class="mw-redirect" title="461 (number)">461</a></li> <li><a href="/wiki/462_(number)" class="mw-redirect" title="462 (number)">462</a></li> <li><a href="/wiki/463_(number)" class="mw-redirect" title="463 (number)">463</a></li> <li><a href="/wiki/464_(number)" class="mw-redirect" title="464 (number)">464</a></li> <li><a href="/wiki/465_(number)" class="mw-redirect" title="465 (number)">465</a></li> <li><a href="/wiki/466_(number)" class="mw-redirect" title="466 (number)">466</a></li> <li><a href="/wiki/467_(number)" class="mw-redirect" title="467 (number)">467</a></li> <li><a href="/wiki/468_(number)" class="mw-redirect" title="468 (number)">468</a></li> <li><a href="/wiki/469_(number)" class="mw-redirect" title="469 (number)">469</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/470_(number)" class="mw-redirect" title="470 (number)">470</a></li> <li><a href="/wiki/471_(number)" class="mw-redirect" title="471 (number)">471</a></li> <li><a href="/wiki/472_(number)" class="mw-redirect" title="472 (number)">472</a></li> <li><a href="/wiki/473_(number)" class="mw-redirect" title="473 (number)">473</a></li> <li><a href="/wiki/474_(number)" class="mw-redirect" title="474 (number)">474</a></li> <li><a href="/wiki/475_(number)" class="mw-redirect" title="475 (number)">475</a></li> <li><a href="/wiki/476_(number)" class="mw-redirect" title="476 (number)">476</a></li> <li><a href="/wiki/477_(number)" class="mw-redirect" title="477 (number)">477</a></li> <li><a href="/wiki/478_(number)" class="mw-redirect" title="478 (number)">478</a></li> <li><a href="/wiki/479_(number)" class="mw-redirect" title="479 (number)">479</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/480_(number)" class="mw-redirect" title="480 (number)">480</a></li> <li><a href="/wiki/481_(number)" class="mw-redirect" title="481 (number)">481</a></li> <li><a href="/wiki/482_(number)" class="mw-redirect" title="482 (number)">482</a></li> <li><a href="/wiki/483_(number)" class="mw-redirect" title="483 (number)">483</a></li> <li><a href="/wiki/484_(number)" class="mw-redirect" title="484 (number)">484</a></li> <li><a href="/wiki/485_(number)" class="mw-redirect" title="485 (number)">485</a></li> <li><a href="/wiki/486_(number)" class="mw-redirect" title="486 (number)">486</a></li> <li><a href="/wiki/487_(number)" class="mw-redirect" title="487 (number)">487</a></li> 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class="mw-redirect" title="498 (number)">498</a></li> <li><a href="/wiki/499_(number)" class="mw-redirect" title="499 (number)">499</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="500s" style="font-size:114%;margin:0 4em"><a href="/wiki/500_(number)" title="500 (number)">500s</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/500_(number)" title="500 (number)">500</a></li> <li><a href="/wiki/501_(number)" title="501 (number)">501</a></li> <li><a href="/wiki/502_(number)" class="mw-redirect" title="502 (number)">502</a></li> <li><a href="/wiki/503_(number)" class="mw-redirect" title="503 (number)">503</a></li> <li><a href="/wiki/504_(number)" class="mw-redirect" title="504 (number)">504</a></li> <li><a href="/wiki/505_(number)" class="mw-redirect" title="505 (number)">505</a></li> <li><a href="/wiki/506_(number)" class="mw-redirect" title="506 (number)">506</a></li> <li><a href="/wiki/507_(number)" class="mw-redirect" title="507 (number)">507</a></li> <li><a href="/wiki/508_(number)" class="mw-redirect" title="508 (number)">508</a></li> <li><a href="/wiki/509_(number)" class="mw-redirect" title="509 (number)">509</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/510_(number)" class="mw-redirect" title="510 (number)">510</a></li> <li><a href="/wiki/511_(number)" title="511 (number)">511</a></li> <li><a href="/wiki/512_(number)" title="512 (number)">512</a></li> <li><a href="/wiki/513_(number)" class="mw-redirect" title="513 (number)">513</a></li> 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href="/wiki/563_(number)" class="mw-redirect" title="563 (number)">563</a></li> <li><a href="/wiki/564_(number)" class="mw-redirect" title="564 (number)">564</a></li> <li><a href="/wiki/565_(number)" class="mw-redirect" title="565 (number)">565</a></li> <li><a href="/wiki/566_(number)" class="mw-redirect" title="566 (number)">566</a></li> <li><a href="/wiki/567_(number)" class="mw-redirect" title="567 (number)">567</a></li> <li><a href="/wiki/568_(number)" class="mw-redirect" title="568 (number)">568</a></li> <li><a href="/wiki/569_(number)" class="mw-redirect" title="569 (number)">569</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/570_(number)" class="mw-redirect" title="570 (number)">570</a></li> <li><a href="/wiki/571_(number)" class="mw-redirect" title="571 (number)">571</a></li> <li><a href="/wiki/572_(number)" class="mw-redirect" title="572 (number)">572</a></li> 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title="592 (number)">592</a></li> <li><a href="/wiki/593_(number)" class="mw-redirect" title="593 (number)">593</a></li> <li><a href="/wiki/594_(number)" class="mw-redirect" title="594 (number)">594</a></li> <li><a href="/wiki/595_(number)" class="mw-redirect" title="595 (number)">595</a></li> <li><a href="/wiki/596_(number)" class="mw-redirect" title="596 (number)">596</a></li> <li><a href="/wiki/597_(number)" class="mw-redirect" title="597 (number)">597</a></li> <li><a href="/wiki/598_(number)" class="mw-redirect" title="598 (number)">598</a></li> <li><a href="/wiki/599_(number)" class="mw-redirect" title="599 (number)">599</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="600s" 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href="/wiki/609_(number)" class="mw-redirect" title="609 (number)">609</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/610_(number)" class="mw-redirect" title="610 (number)">610</a></li> <li><a href="/wiki/611_(number)" class="mw-redirect" title="611 (number)">611</a></li> <li><a href="/wiki/612_(number)" class="mw-redirect" title="612 (number)">612</a></li> <li><a href="/wiki/613_(number)" title="613 (number)">613</a></li> <li><a href="/wiki/614_(number)" class="mw-redirect" title="614 (number)">614</a></li> <li><a href="/wiki/615_(number)" class="mw-redirect" title="615 (number)">615</a></li> <li><a href="/wiki/616_(number)" title="616 (number)">616</a></li> <li><a href="/wiki/617_(number)" class="mw-redirect" title="617 (number)">617</a></li> <li><a href="/wiki/618_(number)" class="mw-redirect" title="618 (number)">618</a></li> <li><a href="/wiki/619_(number)" 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class="mw-redirect" title="688 (number)">688</a></li> <li><a href="/wiki/689_(number)" class="mw-redirect" title="689 (number)">689</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/690_(number)" class="mw-redirect" title="690 (number)">690</a></li> <li><a href="/wiki/691_(number)" class="mw-redirect" title="691 (number)">691</a></li> <li><a href="/wiki/692_(number)" class="mw-redirect" title="692 (number)">692</a></li> <li><a href="/wiki/693_(number)" title="693 (number)">693</a></li> <li><a href="/wiki/694_(number)" class="mw-redirect" title="694 (number)">694</a></li> <li><a href="/wiki/695_(number)" class="mw-redirect" title="695 (number)">695</a></li> <li><a href="/wiki/696_(number)" class="mw-redirect" title="696 (number)">696</a></li> <li><a href="/wiki/697_(number)" class="mw-redirect" title="697 (number)">697</a></li> <li><a href="/wiki/698_(number)" class="mw-redirect" title="698 (number)">698</a></li> <li><a href="/wiki/699_(number)" class="mw-redirect" title="699 (number)">699</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="700s" style="font-size:114%;margin:0 4em"><a href="/wiki/700_(number)" title="700 (number)">700s</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/700_(number)" title="700 (number)">700</a></li> <li><a href="/wiki/701_(number)" class="mw-redirect" title="701 (number)">701</a></li> <li><a href="/wiki/702_(number)" class="mw-redirect" title="702 (number)">702</a></li> <li><a href="/wiki/703_(number)" class="mw-redirect" title="703 (number)">703</a></li> <li><a href="/wiki/704_(number)" class="mw-redirect" title="704 (number)">704</a></li> <li><a href="/wiki/705_(number)" class="mw-redirect" title="705 (number)">705</a></li> <li><a href="/wiki/706_(number)" class="mw-redirect" title="706 (number)">706</a></li> <li><a href="/wiki/707_(number)" class="mw-redirect" title="707 (number)">707</a></li> <li><a href="/wiki/708_(number)" class="mw-redirect" title="708 (number)">708</a></li> <li><a href="/wiki/709_(number)" class="mw-redirect" title="709 (number)">709</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/710_(number)" class="mw-redirect" title="710 (number)">710</a></li> <li><a href="/wiki/711_(number)" class="mw-redirect" title="711 (number)">711</a></li> <li><a href="/wiki/712_(number)" class="mw-redirect" title="712 (number)">712</a></li> <li><a href="/wiki/713_(number)" class="mw-redirect" title="713 (number)">713</a></li> <li><a href="/wiki/714_(number)" class="mw-redirect" title="714 (number)">714</a></li> <li><a href="/wiki/715_(number)" class="mw-redirect" title="715 (number)">715</a></li> <li><a href="/wiki/716_(number)" class="mw-redirect" title="716 (number)">716</a></li> <li><a href="/wiki/717_(number)" class="mw-redirect" title="717 (number)">717</a></li> <li><a href="/wiki/718_(number)" class="mw-redirect" title="718 (number)">718</a></li> <li><a href="/wiki/719_(number)" class="mw-redirect" title="719 (number)">719</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/720_(number)" title="720 (number)">720</a></li> <li><a href="/wiki/721_(number)" class="mw-redirect" title="721 (number)">721</a></li> <li><a href="/wiki/722_(number)" class="mw-redirect" title="722 (number)">722</a></li> <li><a href="/wiki/723_(number)" class="mw-redirect" title="723 (number)">723</a></li> <li><a href="/wiki/724_(number)" class="mw-redirect" title="724 (number)">724</a></li> <li><a href="/wiki/725_(number)" class="mw-redirect" title="725 (number)">725</a></li> <li><a href="/wiki/726_(number)" class="mw-redirect" title="726 (number)">726</a></li> <li><a href="/wiki/727_(number)" class="mw-redirect" title="727 (number)">727</a></li> <li><a href="/wiki/728_(number)" class="mw-redirect" title="728 (number)">728</a></li> <li><a href="/wiki/729_(number)" class="mw-redirect" title="729 (number)">729</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/730_(number)" class="mw-redirect" title="730 (number)">730</a></li> <li><a href="/wiki/731_(number)" class="mw-redirect" title="731 (number)">731</a></li> <li><a href="/wiki/732_(number)" class="mw-redirect" title="732 (number)">732</a></li> 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(number)">742</a></li> <li><a href="/wiki/743_(number)" title="743 (number)">743</a></li> <li><a href="/wiki/744_(number)" title="744 (number)">744</a></li> <li><a href="/wiki/745_(number)" class="mw-redirect" title="745 (number)">745</a></li> <li><a href="/wiki/746_(number)" class="mw-redirect" title="746 (number)">746</a></li> <li><a href="/wiki/747_(number)" class="mw-redirect" title="747 (number)">747</a></li> <li><a href="/wiki/748_(number)" class="mw-redirect" title="748 (number)">748</a></li> <li><a href="/wiki/749_(number)" class="mw-redirect" title="749 (number)">749</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/750_(number)" class="mw-redirect" title="750 (number)">750</a></li> <li><a href="/wiki/751_(number)" class="mw-redirect" title="751 (number)">751</a></li> <li><a href="/wiki/752_(number)" class="mw-redirect" title="752 (number)">752</a></li> <li><a href="/wiki/753_(number)" class="mw-redirect" title="753 (number)">753</a></li> <li><a href="/wiki/754_(number)" class="mw-redirect" title="754 (number)">754</a></li> <li><a href="/wiki/755_(number)" class="mw-redirect" title="755 (number)">755</a></li> <li><a href="/wiki/756_(number)" class="mw-redirect" title="756 (number)">756</a></li> <li><a href="/wiki/757_(number)" class="mw-redirect" title="757 (number)">757</a></li> <li><a href="/wiki/758_(number)" class="mw-redirect" title="758 (number)">758</a></li> <li><a href="/wiki/759_(number)" class="mw-redirect" title="759 (number)">759</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/760_(number)" class="mw-redirect" title="760 (number)">760</a></li> <li><a href="/wiki/761_(number)" class="mw-redirect" title="761 (number)">761</a></li> <li><a href="/wiki/762_(number)" class="mw-redirect" title="762 (number)">762</a></li> 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class="mw-redirect" title="809 (number)">809</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/810_(number)" class="mw-redirect" title="810 (number)">810</a></li> <li><a href="/wiki/811_(number)" class="mw-redirect" title="811 (number)">811</a></li> <li><a href="/wiki/812_(number)" class="mw-redirect" title="812 (number)">812</a></li> <li><a href="/wiki/813_(number)" class="mw-redirect" title="813 (number)">813</a></li> <li><a href="/wiki/814_(number)" class="mw-redirect" title="814 (number)">814</a></li> <li><a href="/wiki/815_(number)" class="mw-redirect" title="815 (number)">815</a></li> <li><a href="/wiki/816_(number)" class="mw-redirect" title="816 (number)">816</a></li> <li><a href="/wiki/817_(number)" class="mw-redirect" title="817 (number)">817</a></li> <li><a href="/wiki/818_(number)" class="mw-redirect" title="818 (number)">818</a></li> <li><a href="/wiki/819_(number)" class="mw-redirect" title="819 (number)">819</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/820_(number)" class="mw-redirect" title="820 (number)">820</a></li> <li><a href="/wiki/821_(number)" class="mw-redirect" title="821 (number)">821</a></li> <li><a href="/wiki/822_(number)" class="mw-redirect" title="822 (number)">822</a></li> <li><a href="/wiki/823_(number)" class="mw-redirect" title="823 (number)">823</a></li> <li><a href="/wiki/824_(number)" class="mw-redirect" title="824 (number)">824</a></li> <li><a href="/wiki/825_(number)" class="mw-redirect" title="825 (number)">825</a></li> <li><a href="/wiki/826_(number)" class="mw-redirect" title="826 (number)">826</a></li> <li><a href="/wiki/827_(number)" class="mw-redirect" title="827 (number)">827</a></li> <li><a href="/wiki/828_(number)" class="mw-redirect" title="828 (number)">828</a></li> 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href="/wiki/849_(number)" class="mw-redirect" title="849 (number)">849</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/850_(number)" class="mw-redirect" title="850 (number)">850</a></li> <li><a href="/wiki/851_(number)" class="mw-redirect" title="851 (number)">851</a></li> <li><a href="/wiki/852_(number)" class="mw-redirect" title="852 (number)">852</a></li> <li><a href="/wiki/853_(number)" class="mw-redirect" title="853 (number)">853</a></li> <li><a href="/wiki/854_(number)" class="mw-redirect" title="854 (number)">854</a></li> <li><a href="/wiki/855_(number)" class="mw-redirect" title="855 (number)">855</a></li> <li><a href="/wiki/856_(number)" class="mw-redirect" title="856 (number)">856</a></li> <li><a href="/wiki/857_(number)" class="mw-redirect" title="857 (number)">857</a></li> <li><a href="/wiki/858_(number)" class="mw-redirect" title="858 (number)">858</a></li> 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title="878 (number)">878</a></li> <li><a href="/wiki/879_(number)" class="mw-redirect" title="879 (number)">879</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/880_(number)" title="880 (number)">880</a></li> <li><a href="/wiki/881_(number)" title="881 (number)">881</a></li> <li><a href="/wiki/882_(number)" class="mw-redirect" title="882 (number)">882</a></li> <li><a href="/wiki/883_(number)" class="mw-redirect" title="883 (number)">883</a></li> <li><a href="/wiki/884_(number)" class="mw-redirect" title="884 (number)">884</a></li> <li><a href="/wiki/885_(number)" class="mw-redirect" title="885 (number)">885</a></li> <li><a href="/wiki/886_(number)" class="mw-redirect" title="886 (number)">886</a></li> <li><a href="/wiki/887_(number)" class="mw-redirect" title="887 (number)">887</a></li> <li><a href="/wiki/888_(number)" title="888 (number)">888</a></li> <li><a href="/wiki/889_(number)" class="mw-redirect" title="889 (number)">889</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/890_(number)" class="mw-redirect" title="890 (number)">890</a></li> <li><a href="/wiki/891_(number)" class="mw-redirect" title="891 (number)">891</a></li> <li><a href="/wiki/892_(number)" class="mw-redirect" title="892 (number)">892</a></li> <li><a href="/wiki/893_(number)" class="mw-redirect" title="893 (number)">893</a></li> <li><a href="/wiki/894_(number)" class="mw-redirect" title="894 (number)">894</a></li> <li><a href="/wiki/895_(number)" class="mw-redirect" title="895 (number)">895</a></li> <li><a href="/wiki/896_(number)" class="mw-redirect" title="896 (number)">896</a></li> <li><a href="/wiki/897_(number)" class="mw-redirect" title="897 (number)">897</a></li> <li><a href="/wiki/898_(number)" class="mw-redirect" title="898 (number)">898</a></li> <li><a href="/wiki/899_(number)" class="mw-redirect" title="899 (number)">899</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="900s" style="font-size:114%;margin:0 4em"><a href="/wiki/900_(number)" title="900 (number)">900s</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/900_(number)" title="900 (number)">900</a></li> <li><a href="/wiki/901_(number)" class="mw-redirect" title="901 (number)">901</a></li> <li><a href="/wiki/902_(number)" class="mw-redirect" title="902 (number)">902</a></li> <li><a href="/wiki/903_(number)" class="mw-redirect" title="903 (number)">903</a></li> <li><a href="/wiki/904_(number)" class="mw-redirect" title="904 (number)">904</a></li> <li><a href="/wiki/905_(number)" class="mw-redirect" title="905 (number)">905</a></li> <li><a href="/wiki/906_(number)" class="mw-redirect" title="906 (number)">906</a></li> <li><a href="/wiki/907_(number)" class="mw-redirect" title="907 (number)">907</a></li> <li><a href="/wiki/908_(number)" class="mw-redirect" title="908 (number)">908</a></li> <li><a href="/wiki/909_(number)" class="mw-redirect" title="909 (number)">909</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/910_(number)" class="mw-redirect" title="910 (number)">910</a></li> <li><a href="/wiki/911_(number)" title="911 (number)">911</a></li> <li><a href="/wiki/912_(number)" class="mw-redirect" title="912 (number)">912</a></li> <li><a href="/wiki/913_(number)" class="mw-redirect" title="913 (number)">913</a></li> <li><a href="/wiki/914_(number)" class="mw-redirect" title="914 (number)">914</a></li> <li><a href="/wiki/915_(number)" class="mw-redirect" title="915 (number)">915</a></li> <li><a href="/wiki/916_(number)" class="mw-redirect" title="916 (number)">916</a></li> <li><a href="/wiki/917_(number)" class="mw-redirect" title="917 (number)">917</a></li> <li><a href="/wiki/918_(number)" class="mw-redirect" title="918 (number)">918</a></li> <li><a href="/wiki/919_(number)" class="mw-redirect" title="919 (number)">919</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/920_(number)" class="mw-redirect" title="920 (number)">920</a></li> <li><a href="/wiki/921_(number)" class="mw-redirect" title="921 (number)">921</a></li> <li><a href="/wiki/922_(number)" class="mw-redirect" title="922 (number)">922</a></li> <li><a href="/wiki/923_(number)" class="mw-redirect" title="923 (number)">923</a></li> <li><a href="/wiki/924_(number)" class="mw-redirect" title="924 (number)">924</a></li> <li><a href="/wiki/925_(number)" class="mw-redirect" title="925 (number)">925</a></li> <li><a href="/wiki/926_(number)" class="mw-redirect" title="926 (number)">926</a></li> <li><a href="/wiki/927_(number)" class="mw-redirect" title="927 (number)">927</a></li> <li><a href="/wiki/928_(number)" class="mw-redirect" title="928 (number)">928</a></li> <li><a href="/wiki/929_(number)" class="mw-redirect" title="929 (number)">929</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/930_(number)" class="mw-redirect" title="930 (number)">930</a></li> <li><a href="/wiki/931_(number)" class="mw-redirect" title="931 (number)">931</a></li> <li><a href="/wiki/932_(number)" class="mw-redirect" title="932 (number)">932</a></li> <li><a href="/wiki/933_(number)" class="mw-redirect" title="933 (number)">933</a></li> <li><a href="/wiki/934_(number)" class="mw-redirect" title="934 (number)">934</a></li> <li><a href="/wiki/935_(number)" class="mw-redirect" title="935 (number)">935</a></li> <li><a href="/wiki/936_(number)" class="mw-redirect" title="936 (number)">936</a></li> <li><a href="/wiki/937_(number)" class="mw-redirect" title="937 (number)">937</a></li> <li><a href="/wiki/938_(number)" class="mw-redirect" title="938 (number)">938</a></li> <li><a href="/wiki/939_(number)" class="mw-redirect" title="939 (number)">939</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/940_(number)" class="mw-redirect" title="940 (number)">940</a></li> <li><a href="/wiki/941_(number)" class="mw-redirect" title="941 (number)">941</a></li> <li><a href="/wiki/942_(number)" class="mw-redirect" title="942 (number)">942</a></li> <li><a href="/wiki/943_(number)" class="mw-redirect" title="943 (number)">943</a></li> <li><a href="/wiki/944_(number)" class="mw-redirect" title="944 (number)">944</a></li> <li><a href="/wiki/945_(number)" class="mw-redirect" title="945 (number)">945</a></li> <li><a href="/wiki/946_(number)" class="mw-redirect" title="946 (number)">946</a></li> <li><a href="/wiki/947_(number)" class="mw-redirect" title="947 (number)">947</a></li> <li><a href="/wiki/948_(number)" class="mw-redirect" title="948 (number)">948</a></li> <li><a href="/wiki/949_(number)" class="mw-redirect" title="949 (number)">949</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/950_(number)" class="mw-redirect" title="950 (number)">950</a></li> <li><a href="/wiki/951_(number)" class="mw-redirect" title="951 (number)">951</a></li> <li><a href="/wiki/952_(number)" class="mw-redirect" title="952 (number)">952</a></li> <li><a href="/wiki/953_(number)" class="mw-redirect" title="953 (number)">953</a></li> <li><a href="/wiki/954_(number)" class="mw-redirect" title="954 (number)">954</a></li> <li><a href="/wiki/955_(number)" class="mw-redirect" title="955 (number)">955</a></li> <li><a href="/wiki/956_(number)" class="mw-redirect" title="956 (number)">956</a></li> <li><a href="/wiki/957_(number)" class="mw-redirect" title="957 (number)">957</a></li> <li><a href="/wiki/958_(number)" class="mw-redirect" title="958 (number)">958</a></li> <li><a href="/wiki/959_(number)" class="mw-redirect" title="959 (number)">959</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/960_(number)" class="mw-redirect" title="960 (number)">960</a></li> <li><a href="/wiki/961_(number)" class="mw-redirect" title="961 (number)">961</a></li> <li><a href="/wiki/962_(number)" class="mw-redirect" title="962 (number)">962</a></li> <li><a href="/wiki/963_(number)" class="mw-redirect" title="963 (number)">963</a></li> <li><a href="/wiki/964_(number)" class="mw-redirect" title="964 (number)">964</a></li> <li><a href="/wiki/965_(number)" class="mw-redirect" title="965 (number)">965</a></li> <li><a href="/wiki/966_(number)" class="mw-redirect" title="966 (number)">966</a></li> <li><a href="/wiki/967_(number)" class="mw-redirect" title="967 (number)">967</a></li> <li><a href="/wiki/968_(number)" class="mw-redirect" title="968 (number)">968</a></li> <li><a href="/wiki/969_(number)" class="mw-redirect" title="969 (number)">969</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/970_(number)" class="mw-redirect" title="970 (number)">970</a></li> <li><a href="/wiki/971_(number)" title="971 (number)">971</a></li> <li><a href="/wiki/972_(number)" class="mw-redirect" title="972 (number)">972</a></li> <li><a href="/wiki/973_(number)" class="mw-redirect" title="973 (number)">973</a></li> <li><a href="/wiki/974_(number)" class="mw-redirect" title="974 (number)">974</a></li> <li><a href="/wiki/975_(number)" class="mw-redirect" title="975 (number)">975</a></li> <li><a href="/wiki/976_(number)" class="mw-redirect" title="976 (number)">976</a></li> <li><a href="/wiki/977_(number)" class="mw-redirect" title="977 (number)">977</a></li> <li><a href="/wiki/978_(number)" class="mw-redirect" title="978 (number)">978</a></li> <li><a href="/wiki/979_(number)" class="mw-redirect" title="979 (number)">979</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/980_(number)" class="mw-redirect" title="980 (number)">980</a></li> <li><a href="/wiki/981_(number)" class="mw-redirect" title="981 (number)">981</a></li> <li><a href="/wiki/982_(number)" class="mw-redirect" title="982 (number)">982</a></li> <li><a href="/wiki/983_(number)" class="mw-redirect" title="983 (number)">983</a></li> <li><a href="/wiki/984_(number)" class="mw-redirect" title="984 (number)">984</a></li> <li><a href="/wiki/985_(number)" class="mw-redirect" title="985 (number)">985</a></li> <li><a href="/wiki/986_(number)" class="mw-redirect" title="986 (number)">986</a></li> <li><a href="/wiki/987_(number)" class="mw-redirect" title="987 (number)">987</a></li> <li><a href="/wiki/988_(number)" class="mw-redirect" title="988 (number)">988</a></li> <li><a href="/wiki/989_(number)" class="mw-redirect" title="989 (number)">989</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/990_(number)" class="mw-redirect" title="990 (number)">990</a></li> <li><a href="/wiki/991_(number)" class="mw-redirect" title="991 (number)">991</a></li> <li><a href="/wiki/992_(number)" class="mw-redirect" title="992 (number)">992</a></li> <li><a href="/wiki/993_(number)" class="mw-redirect" title="993 (number)">993</a></li> <li><a href="/wiki/994_(number)" class="mw-redirect" title="994 (number)">994</a></li> <li><a href="/wiki/995_(number)" class="mw-redirect" title="995 (number)">995</a></li> <li><a href="/wiki/996_(number)" class="mw-redirect" title="996 (number)">996</a></li> <li><a href="/wiki/997_(number)" class="mw-redirect" title="997 (number)">997</a></li> <li><a href="/wiki/998_(number)" class="mw-redirect" title="998 (number)">998</a></li> <li><a href="/wiki/999_(number)" title="999 (number)">999</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="≥1000" style="font-size:114%;margin:0 4em">≥<a href="/wiki/1000_(number)" title="1000 (number)">1000</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/1000_(number)" title="1000 (number)">1000</a></li> <li><a href="/wiki/2000_(number)" title="2000 (number)">2000</a></li> <li><a href="/wiki/3000_(number)" title="3000 (number)">3000</a></li> <li><a href="/wiki/4000_(number)" title="4000 (number)">4000</a></li> <li><a href="/wiki/5000_(number)" title="5000 (number)">5000</a></li> <li><a href="/wiki/6000_(number)" title="6000 (number)">6000</a></li> <li><a href="/wiki/7000_(number)" title="7000 (number)">7000</a></li> <li><a href="/wiki/8000_(number)" title="8000 (number)">8000</a></li> <li><a href="/wiki/9000_(number)" title="9000 (number)">9000</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/10,000" title="10,000">10,000</a></li> <li><a href="/wiki/20,000" title="20,000">20,000</a></li> <li><a href="/wiki/30,000" title="30,000">30,000</a></li> <li><a href="/wiki/40,000" title="40,000">40,000</a></li> <li><a href="/wiki/50,000" title="50,000">50,000</a></li> <li><a href="/wiki/60,000" title="60,000">60,000</a></li> <li><a href="/wiki/70,000" title="70,000">70,000</a></li> <li><a href="/wiki/80,000" title="80,000">80,000</a></li> <li><a href="/wiki/90,000" title="90,000">90,000</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/100,000" title="100,000">100,000</a></li> <li><a href="/wiki/1,000,000" title="1,000,000">1,000,000</a></li> <li><a href="/wiki/10,000,000" title="10,000,000">10,000,000</a></li> <li><a href="/wiki/100,000,000" title="100,000,000">100,000,000</a></li> <li><a href="/wiki/1,000,000,000" title="1,000,000,000">1,000,000,000</a></li></ul> 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